DOI: 10.1007/bf01217730. Quantum field theory and the Jones polynomial

Quantum field theory and the Jones polynomial

10.1007/bf01217730

Crossref journal-article

Springer Science and Business Media LLC

Communications in Mathematical Physics (297)

Bibliography

Witten, E. (1989). Quantum field theory and the Jones polynomial. Communications in Mathematical Physics, 121(3), 351â399.

Authors 1

Edward Witten (first)

References 47 Referenced 3,238

Atiyah, M. F.: New invariants of three and four dimensional manifolds. In: The mathematical heritage of Hermann Weyl. Proc. Symp. Pure Math., vol.48. Wells R. (ed.). Providence, RI: American Mathematical Society 1988, pp. 285?299 (10.1090/pspum/048/974342) / The mathematical heritage of Hermann Weyl by M. F. Atiyah (1988)
Donaldson, S.: An application of gauge theory to the topology of four manifolds. J. Diff. Geom.18, 269 (1983), Polynomial invariants for smooth four-manifolds. Oxford preprint (10.4310/jdg/1214437664) / J. Diff. Geom. by S. Donaldson (1983)
Floer, A.: An instanton invariant for three manifolds. Courant Institute preprint (1987). Morse theory for fixed points of symplectic diffeomorphisms. Bull. AMS16, 279 (1987) (10.1090/S0273-0979-1987-15517-0) / Bull. AMS by A. Floer (1987)
Witten, E.: Topological quantum field theory. Commun. Math. Phys.117, 353 (1988) (10.1007/BF01223371) / Commun. Math. Phys. by E. Witten (1988)
Jones, V. F. R.: Index for subfactors. Invent. Math.72, 1 (1983). A polynomial invariant for links via von Neumann algebras. Bull. AMS12, 103 (1985), Hecke algebra representations of braid groups and link polynomials. Ann. Math.126, 335 (1987) (10.1007/BF01389127) / Invent. Math. by V. F. R. Jones (1983)
Freyd, P., Yetter, D., Hoste, J., Lickorish, W. B. R., Millett, K., Ocneanu, A.: A new polynomial invariant of knots and links. Bull. AMS12, 239 (1985) (10.1090/S0273-0979-1985-15361-3) / Bull. AMS by P. Freyd (1985)
Kauffman, L.: State models and the Jones polynomial. Topology26, 395 (1987). Statistical mechaniscs and the Jones polynomial, to appear in the Proceedings of the July, 1986, conference on Artin's braid group, Santa Cruz, California; An invariant of regular isotopy preprint (10.1016/0040-9383(87)90009-7) / Topology by L. Kauffman (1987)
Turaev, V. G.: The Yang-Baxter equation and invariants of links. LOMI preprint E-3-87, Inv. Math.92, 527 (1988) (10.1007/BF01393746) / Inv. Math. by V. G. Turaev (1988)
Przytycki, J. H., Traczyk, P.: Invariants of links of conway type. Kobe J. Math.,4, 115 (1988) / Kobe J. Math. by J. H. Przytycki (1988)
Birman, J.: On the Jones polynomial of closed 3-braids. Invent. Math.81, 287 (1985). (10.1007/BF01389053) / Invent. Math. by J. Birman (1985)
Birman, J., Wenzl, H. Link polynomials and a new algebra, preprint
Tsuchiya, A., Kanie, Y.: In: Conformal field theory and solvable lattice models. Adv. Stud. Pure math.16, 297 (1988); Lett. Math. Phys.13, 303 (1987) (10.2969/aspm/01610297) / Adv. Stud. Pure math. by A. Tsuchiya (1988)
Verlinde, E.: Fusion rules and modular transformations in 2d conformal field theory. Nucl. Phys.B 300, 360 (1988) (10.1016/0550-3213(88)90603-7) / Nucl. Phys. by E. Verlinde (1988)
Moore, G., Seiberg, N.: Polynomial equations for rational conformal field theories. To appear in Phys. Lett. B, Naturality in conformal field theory. To appear in Nucl. Phys. B, Classical and quantum conformal field theory. IAS preprint HEP-88/35
Schroer, B.: Nucl. Phys.295, 4 (1988) K.-H. Rehren, Schroer, B.: Einstein causality and Artin braids. FU preprint (1987) (10.1016/0550-3213(88)90537-8) / Nucl. Phys. by B. Schroer (1988)
Fröhlich, J.: Statistics of fields, the Yang-Baxter equation, and the theory of links and knots. 1987 Cargese lectures, to appear In Nonperturbative quantum field theory. New York: Plenum Press / Nonperturbative quantum field theory by J. Fröhlich (1987)
Segal, G.: Conformal field theory. Oxford preprint; and lecture at the IAMP Congress, Swansea, July, 1988
Gromov, M.: Pseudo-holomorphic curves in symplectic manifolds. Invent. Math.82, 307 (1985) (10.1007/BF01388806) / Invent. Math. by M. Gromov (1985)
Schwarz, A.: The partition function of degenerate quadratic functional and Ray-Singer invariants. Lett. Math. Phys.2, 247 (1978) (10.1007/BF00406412) / Lett. Math. Phys. by A. Schwarz (1978)
Schonfeld, J.: A mass term for three dimensional gauge fields. Nucl. Phys.B 185, 157 (1981) (10.1016/0550-3213(81)90369-2) / Nucl. Phys. by J. Schonfeld (1981)
Jackiw, R., Templeton, S.: How superrenormalizable theories cure their infrared divergences. Phys. Rev.D 23, 2291 (1981) / Phys. Rev. by R. Jackiw (1981)
Deser, S., Jackiw, R., Templeton, S.: Three dimensional massive gauge theories. Phys. Rev. Lett.48, 975 (1983). Deser, S., Jackiw, R., Templeton, S. Topologically massive gauge theory. Ann. Phys. NY140, 372 (1984) (10.1103/PhysRevLett.48.975) / Phys. Rev. Lett. by S. Deser (1983)
Zuckerman, G.: Action principles and global geometry. In: The proceedings of the 1986 San Diego Summer Workshop, Yau, S.-T. (ed.) (10.1142/9789812798411_0013)
Polyakov, A. M.: Fermi-bose transmutations induced by gauge fields. Mod. Phys. Lett.A 3, 325 (1988) (10.1142/S0217732388000398) / Mod. Phys. Lett. by A. M. Polyakov (1988)
Hagen, C. R.: Ann. Phys.157, 342 (1984) (10.1016/0003-4916(84)90064-2) / Ann. Phys. by C. R. Hagen (1984)
Arovas, D., Schrieffer, R., Wilczek, F., Zee, A.: Statistical mechanics of anyons. Nucl. Phys.B 251 [FS 13], 117 (1985) (10.1016/0550-3213(85)90252-4) / Nucl. Phys. by D. Arovas (1985)
Witten, E.: Non-Abelian bosonization in two dimensions. Commun. Math. Phys.92, 455 (1984) (10.1007/BF01215276) / Commun. Math. Phys. by E. Witten (1984)
Ray, D., Singer, I.: Adv. Math.7, 145 (1971), Ann. Math.98 154 (1973) (10.1016/0001-8708(71)90045-4) / Adv. Math. by D. Ray (1971)
Deser, S., Jackiw, R., Templeton, S.: In [21] ; Affleck, I., Harvey, J., Witten, E.: Nucl. Phys.B 206, 413 (1982) (10.1103/PhysRevLett.48.975) / Phys. Rev. Lett. by S. Deser (1983)
Redlich, A. N.: Gauge invariance and parity conservation of three-dimensional fermions. Phys. Rev. Lett.52, 18 (1984) (10.1103/PhysRevLett.52.18) / Phys. Rev. Lett. by A. N. Redlich (1984)
Alvarez-Gaumé, L., Witten, E.: Gravitational anomalies. Nucl. Phys.B 234, 269 (1983) / Nucl. Phys. by L. Alvarez-Gaumé (1983)
Alvarez-Gaumé, Della Pietra, S., Moore, G.: Anomalies and odd dimensions. Ann. Phys. (NY)163, 288 (1985) (10.1016/0003-4916(85)90383-5) / Ann. Phys. by Alvarez-Gaumé (1985)
Atiyah, M.F.: A note on the eta invariant (unpublished)
Singer, I.M.: Families of Dirac operators with applications to Physics. Astérisque,1985, p. 323
Atiyah, M. F., Patodi, V., Singer, I.: Math. Proc. Camb. Phil. Soc.77, 43 (1975),78, 405 (1975),79, 71 (1976) (10.1017/S0305004100049410) / Math. Proc. Camb. Phil. Soc. by M. F. Atiyah (1975)
Wilczek, F., Zee, A.: Linking numbers, spin, and statistics of solitons. Phys. Rev. Lett.51, 2250 (1983) (10.1103/PhysRevLett.51.2250) / Phys. Rev. Lett. by F. Wilczek (1983)
Friedan, D., Shenker, S.: Nucl. Phys.B 281, 509 (1987) (10.1016/0550-3213(87)90418-4) / Nucl. Phys. by D. Friedan (1987)
Belavin, A., Polyakov, A. M., Zamolodchikov, A.: Nucl. Phys.B (1984)
Atiyah, M. F., Bott, R.: The Yang-Mills equations over Riemann surfaces. Phil. Trans. R. Soc. Lond.A 308, 523 (1982) / Phil. Trans. R. Soc. Lond. by M. F. Atiyah (1982)
Quillen, D.: Determinants of Cauchy-Riemann operators over a Riemann surface. Funct. Anal. Appl.19, 31 (1986) (10.1007/BF01086022) / Funct. Anal. Appl. by D. Quillen (1986)
Drinfeld, V.: Quantum groups. In: The Proceedings of the International Congress of Mathematicians, Berkeley 1986, Vol. 1, pp. 798?820
Gepner, D., Witten, E.: String theory on group manifolds. Nucl. Phys. B278, 493 (1986) (10.1016/0550-3213(86)90051-9) / Nucl. Phys. B by D. Gepner (1986)
Kac, V. G.: Infinite dimensional Lie algebras. Cambridge: Cambridge University Press (1985) / Infinite dimensional Lie algebras by V. G. Kac (1985)
Kac, V. G., Peterson, D. H.: Adv. Math.53, 125 (1984) (10.1016/0001-8708(84)90032-X) / Adv. Math. by V. G. Kac (1984)
Kac, V. G., Wakimoto, M.: Adv. Math.70, 156 (1988) (10.1016/0001-8708(88)90055-2) / Adv. Math. by V. G. Kac (1988)
Witten, E.: 2+1 dimensional gravity as an exactly soluble system. IAS preprint HEP-88/32
Segal, G.: Unitary representation of some infinite dimensional groups. Commun. Math. Phys.80, 301 (1981) (10.1007/BF01208274) / Commun. Math. Phys. by G. Segal (1981)

Dates

Type	When
Created	20 years, 6 months ago (Feb. 25, 2005, 10:05 a.m.)
Deposited	5 years, 4 months ago (April 5, 2020, 7:18 p.m.)
Indexed	2 days, 6 hours ago (Aug. 30, 2025, 12:38 p.m.)
Issued	36 years ago (Sept. 1, 1989)
Published	36 years ago (Sept. 1, 1989)
Published Print	36 years ago (Sept. 1, 1989)

Funders 0

None

BibTeX

@article{Witten_1989, title={Quantum field theory and the Jones polynomial}, volume={121}, ISSN={1432-0916}, url={http://dx.doi.org/10.1007/bf01217730}, DOI={10.1007/bf01217730}, number={3}, journal={Communications in Mathematical Physics}, publisher={Springer Science and Business Media LLC}, author={Witten, Edward}, year={1989}, month=sep, pages={351–399} }

JSON

{
  "indexed": {
    "date-parts": [
      [
        2025,
        8,
        30
      ]
    ],
    "date-time": "2025-08-30T16:38:12Z",
    "timestamp": 1756571892704
  },
  "reference-count": 47,
  "publisher": "Springer Science and Business Media LLC",
  "issue": "3",
  "license": [
    {
      "start": {
        "date-parts": [
          [
            1989,
            9,
            1
          ]
        ],
        "date-time": "1989-09-01T00:00:00Z",
        "timestamp": 620611200000
      },
      "content-version": "tdm",
      "delay-in-days": 0,
      "URL": "http://www.springer.com/tdm"
    }
  ],
  "content-domain": {
    "domain": [],
    "crossmark-restriction": false
  },
  "published-print": {
    "date-parts": [
      [
        1989,
        9
      ]
    ]
  },
  "DOI": "10.1007/bf01217730",
  "type": "journal-article",
  "created": {
    "date-parts": [
      [
        2005,
        2,
        25
      ]
    ],
    "date-time": "2005-02-25T15:05:55Z",
    "timestamp": 1109343955000
  },
  "page": "351-399",
  "source": "Crossref",
  "is-referenced-by-count": 3238,
  "title": "Quantum field theory and the Jones polynomial",
  "prefix": "10.1007",
  "volume": "121",
  "author": [
    {
      "given": "Edward",
      "family": "Witten",
      "sequence": "first",
      "affiliation": []
    }
  ],
  "member": "297",
  "reference": [
    {
      "key": "CR1",
      "doi-asserted-by": "crossref",
      "first-page": "285",
      "DOI": "10.1090/pspum/048/974342",
      "volume-title": "The mathematical heritage of Hermann Weyl",
      "author": "M. F. Atiyah",
      "year": "1988",
      "unstructured": "Atiyah, M. F.: New invariants of three and four dimensional manifolds. In: The mathematical heritage of Hermann Weyl. Proc. Symp. Pure Math., vol.48. Wells R. (ed.). Providence, RI: American Mathematical Society 1988, pp. 285?299"
    },
    {
      "key": "CR2",
      "doi-asserted-by": "crossref",
      "first-page": "269",
      "DOI": "10.4310/jdg/1214437664",
      "volume": "18",
      "author": "S. Donaldson",
      "year": "1983",
      "unstructured": "Donaldson, S.: An application of gauge theory to the topology of four manifolds. J. Diff. Geom.18, 269 (1983), Polynomial invariants for smooth four-manifolds. Oxford preprint",
      "journal-title": "J. Diff. Geom."
    },
    {
      "key": "CR3",
      "doi-asserted-by": "crossref",
      "first-page": "279",
      "DOI": "10.1090/S0273-0979-1987-15517-0",
      "volume": "16",
      "author": "A. Floer",
      "year": "1987",
      "unstructured": "Floer, A.: An instanton invariant for three manifolds. Courant Institute preprint (1987). Morse theory for fixed points of symplectic diffeomorphisms. Bull. AMS16, 279 (1987)",
      "journal-title": "Bull. AMS"
    },
    {
      "key": "CR4",
      "doi-asserted-by": "crossref",
      "first-page": "353",
      "DOI": "10.1007/BF01223371",
      "volume": "117",
      "author": "E. Witten",
      "year": "1988",
      "unstructured": "Witten, E.: Topological quantum field theory. Commun. Math. Phys.117, 353 (1988)",
      "journal-title": "Commun. Math. Phys."
    },
    {
      "key": "CR5",
      "doi-asserted-by": "crossref",
      "first-page": "1",
      "DOI": "10.1007/BF01389127",
      "volume": "72",
      "author": "V. F. R. Jones",
      "year": "1983",
      "unstructured": "Jones, V. F. R.: Index for subfactors. Invent. Math.72, 1 (1983). A polynomial invariant for links via von Neumann algebras. Bull. AMS12, 103 (1985), Hecke algebra representations of braid groups and link polynomials. Ann. Math.126, 335 (1987)",
      "journal-title": "Invent. Math."
    },
    {
      "key": "CR6",
      "doi-asserted-by": "crossref",
      "first-page": "239",
      "DOI": "10.1090/S0273-0979-1985-15361-3",
      "volume": "12",
      "author": "P. Freyd",
      "year": "1985",
      "unstructured": "Freyd, P., Yetter, D., Hoste, J., Lickorish, W. B. R., Millett, K., Ocneanu, A.: A new polynomial invariant of knots and links. Bull. AMS12, 239 (1985)",
      "journal-title": "Bull. AMS"
    },
    {
      "key": "CR7",
      "doi-asserted-by": "crossref",
      "first-page": "395",
      "DOI": "10.1016/0040-9383(87)90009-7",
      "volume": "26",
      "author": "L. Kauffman",
      "year": "1987",
      "unstructured": "Kauffman, L.: State models and the Jones polynomial. Topology26, 395 (1987). Statistical mechaniscs and the Jones polynomial, to appear in the Proceedings of the July, 1986, conference on Artin's braid group, Santa Cruz, California; An invariant of regular isotopy preprint",
      "journal-title": "Topology"
    },
    {
      "key": "CR8",
      "doi-asserted-by": "crossref",
      "first-page": "527",
      "DOI": "10.1007/BF01393746",
      "volume": "92",
      "author": "V. G. Turaev",
      "year": "1988",
      "unstructured": "Turaev, V. G.: The Yang-Baxter equation and invariants of links. LOMI preprint E-3-87, Inv. Math.92, 527 (1988)",
      "journal-title": "Inv. Math."
    },
    {
      "key": "CR9",
      "first-page": "115",
      "volume": "4",
      "author": "J. H. Przytycki",
      "year": "1988",
      "unstructured": "Przytycki, J. H., Traczyk, P.: Invariants of links of conway type. Kobe J. Math.,4, 115 (1988)",
      "journal-title": "Kobe J. Math."
    },
    {
      "key": "CR10",
      "doi-asserted-by": "crossref",
      "first-page": "287",
      "DOI": "10.1007/BF01389053",
      "volume": "81",
      "author": "J. Birman",
      "year": "1985",
      "unstructured": "Birman, J.: On the Jones polynomial of closed 3-braids. Invent. Math.81, 287 (1985).",
      "journal-title": "Invent. Math."
    },
    {
      "key": "CR11",
      "unstructured": "Birman, J., Wenzl, H. Link polynomials and a new algebra, preprint"
    },
    {
      "key": "CR12",
      "doi-asserted-by": "crossref",
      "first-page": "297",
      "DOI": "10.2969/aspm/01610297",
      "volume": "16",
      "author": "A. Tsuchiya",
      "year": "1988",
      "unstructured": "Tsuchiya, A., Kanie, Y.: In: Conformal field theory and solvable lattice models. Adv. Stud. Pure math.16, 297 (1988); Lett. Math. Phys.13, 303 (1987)",
      "journal-title": "Adv. Stud. Pure math."
    },
    {
      "key": "CR13",
      "doi-asserted-by": "crossref",
      "first-page": "360",
      "DOI": "10.1016/0550-3213(88)90603-7",
      "volume": "B 300",
      "author": "E. Verlinde",
      "year": "1988",
      "unstructured": "Verlinde, E.: Fusion rules and modular transformations in 2d conformal field theory. Nucl. Phys.B 300, 360 (1988)",
      "journal-title": "Nucl. Phys."
    },
    {
      "key": "CR14",
      "unstructured": "Moore, G., Seiberg, N.: Polynomial equations for rational conformal field theories. To appear in Phys. Lett. B, Naturality in conformal field theory. To appear in Nucl. Phys. B, Classical and quantum conformal field theory. IAS preprint HEP-88/35"
    },
    {
      "key": "CR15",
      "doi-asserted-by": "crossref",
      "first-page": "4",
      "DOI": "10.1016/0550-3213(88)90537-8",
      "volume": "295",
      "author": "B. Schroer",
      "year": "1988",
      "unstructured": "Schroer, B.: Nucl. Phys.295, 4 (1988) K.-H. Rehren, Schroer, B.: Einstein causality and Artin braids. FU preprint (1987)",
      "journal-title": "Nucl. Phys."
    },
    {
      "key": "CR16",
      "volume-title": "Nonperturbative quantum field theory",
      "author": "J. Fr\u00f6hlich",
      "year": "1987",
      "unstructured": "Fr\u00f6hlich, J.: Statistics of fields, the Yang-Baxter equation, and the theory of links and knots. 1987 Cargese lectures, to appear In Nonperturbative quantum field theory. New York: Plenum Press"
    },
    {
      "key": "CR17",
      "unstructured": "Segal, G.: Conformal field theory. Oxford preprint; and lecture at the IAMP Congress, Swansea, July, 1988"
    },
    {
      "key": "CR18",
      "doi-asserted-by": "crossref",
      "first-page": "307",
      "DOI": "10.1007/BF01388806",
      "volume": "82",
      "author": "M. Gromov",
      "year": "1985",
      "unstructured": "Gromov, M.: Pseudo-holomorphic curves in symplectic manifolds. Invent. Math.82, 307 (1985)",
      "journal-title": "Invent. Math."
    },
    {
      "key": "CR19",
      "doi-asserted-by": "crossref",
      "first-page": "247",
      "DOI": "10.1007/BF00406412",
      "volume": "2",
      "author": "A. Schwarz",
      "year": "1978",
      "unstructured": "Schwarz, A.: The partition function of degenerate quadratic functional and Ray-Singer invariants. Lett. Math. Phys.2, 247 (1978)",
      "journal-title": "Lett. Math. Phys."
    },
    {
      "key": "CR20",
      "doi-asserted-by": "crossref",
      "first-page": "157",
      "DOI": "10.1016/0550-3213(81)90369-2",
      "volume": "B 185",
      "author": "J. Schonfeld",
      "year": "1981",
      "unstructured": "Schonfeld, J.: A mass term for three dimensional gauge fields. Nucl. Phys.B 185, 157 (1981)",
      "journal-title": "Nucl. Phys."
    },
    {
      "key": "CR21",
      "first-page": "2291",
      "volume": "D 23",
      "author": "R. Jackiw",
      "year": "1981",
      "unstructured": "Jackiw, R., Templeton, S.: How superrenormalizable theories cure their infrared divergences. Phys. Rev.D 23, 2291 (1981)",
      "journal-title": "Phys. Rev."
    },
    {
      "key": "CR22",
      "doi-asserted-by": "crossref",
      "first-page": "975",
      "DOI": "10.1103/PhysRevLett.48.975",
      "volume": "48",
      "author": "S. Deser",
      "year": "1983",
      "unstructured": "Deser, S., Jackiw, R., Templeton, S.: Three dimensional massive gauge theories. Phys. Rev. Lett.48, 975 (1983). Deser, S., Jackiw, R., Templeton, S. Topologically massive gauge theory. Ann. Phys. NY140, 372 (1984)",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "CR23",
      "doi-asserted-by": "crossref",
      "unstructured": "Zuckerman, G.: Action principles and global geometry. In: The proceedings of the 1986 San Diego Summer Workshop, Yau, S.-T. (ed.)",
      "DOI": "10.1142/9789812798411_0013"
    },
    {
      "key": "CR24",
      "doi-asserted-by": "crossref",
      "first-page": "325",
      "DOI": "10.1142/S0217732388000398",
      "volume": "A 3",
      "author": "A. M. Polyakov",
      "year": "1988",
      "unstructured": "Polyakov, A. M.: Fermi-bose transmutations induced by gauge fields. Mod. Phys. Lett.A 3, 325 (1988)",
      "journal-title": "Mod. Phys. Lett."
    },
    {
      "key": "CR25",
      "doi-asserted-by": "crossref",
      "first-page": "342",
      "DOI": "10.1016/0003-4916(84)90064-2",
      "volume": "157",
      "author": "C. R. Hagen",
      "year": "1984",
      "unstructured": "Hagen, C. R.: Ann. Phys.157, 342 (1984)",
      "journal-title": "Ann. Phys."
    },
    {
      "key": "CR26",
      "doi-asserted-by": "crossref",
      "first-page": "117",
      "DOI": "10.1016/0550-3213(85)90252-4",
      "volume": "B 251",
      "author": "D. Arovas",
      "year": "1985",
      "unstructured": "Arovas, D., Schrieffer, R., Wilczek, F., Zee, A.: Statistical mechanics of anyons. Nucl. Phys.B 251 [FS 13], 117 (1985)",
      "journal-title": "Nucl. Phys."
    },
    {
      "key": "CR27",
      "doi-asserted-by": "crossref",
      "first-page": "455",
      "DOI": "10.1007/BF01215276",
      "volume": "92",
      "author": "E. Witten",
      "year": "1984",
      "unstructured": "Witten, E.: Non-Abelian bosonization in two dimensions. Commun. Math. Phys.92, 455 (1984)",
      "journal-title": "Commun. Math. Phys."
    },
    {
      "key": "CR28",
      "doi-asserted-by": "crossref",
      "first-page": "145",
      "DOI": "10.1016/0001-8708(71)90045-4",
      "volume": "7",
      "author": "D. Ray",
      "year": "1971",
      "unstructured": "Ray, D., Singer, I.: Adv. Math.7, 145 (1971), Ann. Math.98 154 (1973)",
      "journal-title": "Adv. Math."
    },
    {
      "key": "CR29",
      "doi-asserted-by": "crossref",
      "first-page": "975",
      "DOI": "10.1103/PhysRevLett.48.975",
      "volume": "48",
      "author": "S. Deser",
      "year": "1983",
      "unstructured": "Deser, S., Jackiw, R., Templeton, S.: In [21] ; Affleck, I., Harvey, J., Witten, E.: Nucl. Phys.B 206, 413 (1982)",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "CR30",
      "doi-asserted-by": "crossref",
      "first-page": "18",
      "DOI": "10.1103/PhysRevLett.52.18",
      "volume": "52",
      "author": "A. N. Redlich",
      "year": "1984",
      "unstructured": "Redlich, A. N.: Gauge invariance and parity conservation of three-dimensional fermions. Phys. Rev. Lett.52, 18 (1984)",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "CR31",
      "first-page": "269",
      "volume": "B 234",
      "author": "L. Alvarez-Gaum\u00e9",
      "year": "1983",
      "unstructured": "Alvarez-Gaum\u00e9, L., Witten, E.: Gravitational anomalies. Nucl. Phys.B 234, 269 (1983)",
      "journal-title": "Nucl. Phys."
    },
    {
      "key": "CR32",
      "doi-asserted-by": "crossref",
      "first-page": "288",
      "DOI": "10.1016/0003-4916(85)90383-5",
      "volume": "163",
      "author": "Alvarez-Gaum\u00e9",
      "year": "1985",
      "unstructured": "Alvarez-Gaum\u00e9, Della Pietra, S., Moore, G.: Anomalies and odd dimensions. Ann. Phys. (NY)163, 288 (1985)",
      "journal-title": "Ann. Phys."
    },
    {
      "key": "CR33",
      "unstructured": "Atiyah, M.F.: A note on the eta invariant (unpublished)"
    },
    {
      "key": "CR34",
      "unstructured": "Singer, I.M.: Families of Dirac operators with applications to Physics. Ast\u00e9risque,1985, p. 323"
    },
    {
      "key": "CR35",
      "doi-asserted-by": "crossref",
      "first-page": "43",
      "DOI": "10.1017/S0305004100049410",
      "volume": "77",
      "author": "M. F. Atiyah",
      "year": "1975",
      "unstructured": "Atiyah, M. F., Patodi, V., Singer, I.: Math. Proc. Camb. Phil. Soc.77, 43 (1975),78, 405 (1975),79, 71 (1976)",
      "journal-title": "Math. Proc. Camb. Phil. Soc."
    },
    {
      "key": "CR36",
      "doi-asserted-by": "crossref",
      "first-page": "2250",
      "DOI": "10.1103/PhysRevLett.51.2250",
      "volume": "51",
      "author": "F. Wilczek",
      "year": "1983",
      "unstructured": "Wilczek, F., Zee, A.: Linking numbers, spin, and statistics of solitons. Phys. Rev. Lett.51, 2250 (1983)",
      "journal-title": "Phys. Rev. Lett."
    },
    {
      "key": "CR37",
      "doi-asserted-by": "crossref",
      "first-page": "509",
      "DOI": "10.1016/0550-3213(87)90418-4",
      "volume": "B 281",
      "author": "D. Friedan",
      "year": "1987",
      "unstructured": "Friedan, D., Shenker, S.: Nucl. Phys.B 281, 509 (1987)",
      "journal-title": "Nucl. Phys."
    },
    {
      "key": "CR38",
      "unstructured": "Belavin, A., Polyakov, A. M., Zamolodchikov, A.: Nucl. Phys.B (1984)"
    },
    {
      "key": "CR39",
      "first-page": "523",
      "volume": "A 308",
      "author": "M. F. Atiyah",
      "year": "1982",
      "unstructured": "Atiyah, M. F., Bott, R.: The Yang-Mills equations over Riemann surfaces. Phil. Trans. R. Soc. Lond.A 308, 523 (1982)",
      "journal-title": "Phil. Trans. R. Soc. Lond."
    },
    {
      "key": "CR40",
      "doi-asserted-by": "crossref",
      "first-page": "31",
      "DOI": "10.1007/BF01086022",
      "volume": "19",
      "author": "D. Quillen",
      "year": "1986",
      "unstructured": "Quillen, D.: Determinants of Cauchy-Riemann operators over a Riemann surface. Funct. Anal. Appl.19, 31 (1986)",
      "journal-title": "Funct. Anal. Appl."
    },
    {
      "key": "CR41",
      "unstructured": "Drinfeld, V.: Quantum groups. In: The Proceedings of the International Congress of Mathematicians, Berkeley 1986, Vol. 1, pp. 798?820"
    },
    {
      "key": "CR42",
      "doi-asserted-by": "crossref",
      "first-page": "493",
      "DOI": "10.1016/0550-3213(86)90051-9",
      "volume": "278",
      "author": "D. Gepner",
      "year": "1986",
      "unstructured": "Gepner, D., Witten, E.: String theory on group manifolds. Nucl. Phys. B278, 493 (1986)",
      "journal-title": "Nucl. Phys. B"
    },
    {
      "key": "CR43",
      "volume-title": "Infinite dimensional Lie algebras",
      "author": "V. G. Kac",
      "year": "1985",
      "unstructured": "Kac, V. G.: Infinite dimensional Lie algebras. Cambridge: Cambridge University Press (1985)"
    },
    {
      "key": "CR44",
      "doi-asserted-by": "crossref",
      "first-page": "125",
      "DOI": "10.1016/0001-8708(84)90032-X",
      "volume": "53",
      "author": "V. G. Kac",
      "year": "1984",
      "unstructured": "Kac, V. G., Peterson, D. H.: Adv. Math.53, 125 (1984)",
      "journal-title": "Adv. Math."
    },
    {
      "key": "CR45",
      "doi-asserted-by": "crossref",
      "first-page": "156",
      "DOI": "10.1016/0001-8708(88)90055-2",
      "volume": "70",
      "author": "V. G. Kac",
      "year": "1988",
      "unstructured": "Kac, V. G., Wakimoto, M.: Adv. Math.70, 156 (1988)",
      "journal-title": "Adv. Math."
    },
    {
      "key": "CR46",
      "unstructured": "Witten, E.: 2+1 dimensional gravity as an exactly soluble system. IAS preprint HEP-88/32"
    },
    {
      "key": "CR47",
      "doi-asserted-by": "crossref",
      "first-page": "301",
      "DOI": "10.1007/BF01208274",
      "volume": "80",
      "author": "G. Segal",
      "year": "1981",
      "unstructured": "Segal, G.: Unitary representation of some infinite dimensional groups. Commun. Math. Phys.80, 301 (1981)",
      "journal-title": "Commun. Math. Phys."
    }
  ],
  "container-title": "Communications in Mathematical Physics",
  "original-title": [],
  "language": "en",
  "link": [
    {
      "URL": "http://link.springer.com/content/pdf/10.1007/BF01217730.pdf",
      "content-type": "application/pdf",
      "content-version": "vor",
      "intended-application": "text-mining"
    },
    {
      "URL": "http://link.springer.com/article/10.1007/BF01217730/fulltext.html",
      "content-type": "text/html",
      "content-version": "vor",
      "intended-application": "text-mining"
    },
    {
      "URL": "http://link.springer.com/content/pdf/10.1007/BF01217730",
      "content-type": "unspecified",
      "content-version": "vor",
      "intended-application": "similarity-checking"
    }
  ],
  "deposited": {
    "date-parts": [
      [
        2020,
        4,
        5
      ]
    ],
    "date-time": "2020-04-05T23:18:33Z",
    "timestamp": 1586128713000
  },
  "score": 1,
  "resource": {
    "primary": {
      "URL": "http://link.springer.com/10.1007/BF01217730"
    }
  },
  "subtitle": [],
  "short-title": [],
  "issued": {
    "date-parts": [
      [
        1989,
        9
      ]
    ]
  },
  "references-count": 47,
  "journal-issue": {
    "issue": "3",
    "published-print": {
      "date-parts": [
        [
          1989,
          9
        ]
      ]
    }
  },
  "alternative-id": [
    "BF01217730"
  ],
  "URL": "http://dx.doi.org/10.1007/BF01217730",
  "relation": {},
  "ISSN": [
    "0010-3616",
    "1432-0916"
  ],
  "subject": [],
  "container-title-short": "Commun.Math. Phys.",
  "published": {
    "date-parts": [
      [
        1989,
        9
      ]
    ]
  }
}