Quantum field theory and the Jones polynomial

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

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

Floer, A.: An instanton invariant for three manifolds. Courant Institute preprint (1987). Morse theory for fixed points of symplectic diffeomorphisms. Bull. AMS16, 279 (1987)

Witten, E.: Topological quantum field theory. Commun. Math. Phys.117, 353 (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)

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)

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

Turaev, V. G.: The Yang-Baxter equation and invariants of links. LOMI preprint E-3-87, Inv. Math.92, 527 (1988)

Przytycki, J. H., Traczyk, P.: Invariants of links of conway type. Kobe J. Math.,4, 115 (1988)

Birman, J.: On the Jones polynomial of closed 3-braids. Invent. Math.81, 287 (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)

Verlinde, E.: Fusion rules and modular transformations in 2d conformal field theory. Nucl. Phys.B 300, 360 (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)

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

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)

Schwarz, A.: The partition function of degenerate quadratic functional and Ray-Singer invariants. Lett. Math. Phys.2, 247 (1978)

Schonfeld, J.: A mass term for three dimensional gauge fields. Nucl. Phys.B 185, 157 (1981)

Jackiw, R., Templeton, S.: How superrenormalizable theories cure their infrared divergences. Phys. Rev.D 23, 2291 (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)

Zuckerman, G.: Action principles and global geometry. In: The proceedings of the 1986 San Diego Summer Workshop, Yau, S.-T. (ed.)

Polyakov, A. M.: Fermi-bose transmutations induced by gauge fields. Mod. Phys. Lett.A 3, 325 (1988)

Hagen, C. R.: Ann. Phys.157, 342 (1984)

Arovas, D., Schrieffer, R., Wilczek, F., Zee, A.: Statistical mechanics of anyons. Nucl. Phys.B 251 [FS 13], 117 (1985)

Witten, E.: Non-Abelian bosonization in two dimensions. Commun. Math. Phys.92, 455 (1984)

Ray, D., Singer, I.: Adv. Math.7, 145 (1971), Ann. Math.98 154 (1973)

Deser, S., Jackiw, R., Templeton, S.: In [21] ; Affleck, I., Harvey, J., Witten, E.: Nucl. Phys.B 206, 413 (1982)

Redlich, A. N.: Gauge invariance and parity conservation of three-dimensional fermions. Phys. Rev. Lett.52, 18 (1984)

Alvarez-Gaumé, L., Witten, E.: Gravitational anomalies. Nucl. Phys.B 234, 269 (1983)

Alvarez-Gaumé, Della Pietra, S., Moore, G.: Anomalies and odd dimensions. Ann. Phys. (NY)163, 288 (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)

Wilczek, F., Zee, A.: Linking numbers, spin, and statistics of solitons. Phys. Rev. Lett.51, 2250 (1983)

Friedan, D., Shenker, S.: Nucl. Phys.B 281, 509 (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)

Quillen, D.: Determinants of Cauchy-Riemann operators over a Riemann surface. Funct. Anal. Appl.19, 31 (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)

Kac, V. G.: Infinite dimensional Lie algebras. Cambridge: Cambridge University Press (1985)

Kac, V. G., Peterson, D. H.: Adv. Math.53, 125 (1984)

Kac, V. G., Wakimoto, M.: Adv. Math.70, 156 (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)