References
M. F. Atiyah, New invariants of three and four dimensional manifolds, inThe Mathematical Heritage of Herman Weyl, Proc. Symp. Pure Math.,48, American Math. Soc. (1988), 285–299.
S. K. Donaldson, Polynomial invariants for smooth four-manifolds, to appear inTopology.
A. Floer, Morse theory for fixed points of symplectic diffeomorphisms,Bull. A.M.S.,16 (1987), 279–281.
A. Floer,An instanton invariant for three manifolds, Courant Institute preprint, to appear.
M. Gromov, Pseudo-holomorphic curves in symplectic manifolds,Invent. Math.,82 (1985), 307–347.
N. J. Hitchin, The self-duality equations on a Riemann surface,Proc. London Math. Soc. (3),55 (1987), 59–126.
D. Johnson,A geometric form of Casson’s invariant and its connection with Reidemeister torsion, unpublished lecture notes.
V. F. R. Jones, Hecke algebra representations of braid groups and link polynomials,Ann. of Math.,126 (1987), 335–388.
A. Pressley andG. B. Segal,Loop Groups, Oxford University Press (1988).
G. B. Segal,The definition of conformal field theory (to appear).
E. Witten, Super-symmetry and Morse theory,J. Diff. Geom.,17 (4) (1982), 661–692.
E. Witten, Quantum field theory and the Jones polynomial,Comm. Math. Phys. (to appear).
E. Witten, Topological quantum field theory,Comm. Math. Phys.,117 (1988), 353–386.
E. Witten, Topological sigma models,Comm. Math. Phys.,118 (1988), 411–449.
E. Witten, 2 + 1 dimensional gravity as an exactly soluble system,Nucl. Phys. B,311 (1988/89), 46–78.
E. Witten, Topology changing amplitudes in 2 + 1 dimensional gravity,Nucl. Phys. B (to appear).
E. Witten, Elliptic genera and quantum field theory,Comm. Math. Phys.,109 (1987), 525–536.
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To René Thom on his 65th birthday.
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Atiyah, M. Topological quantum field theories. Publications Mathématiques de l’Institut des Hautes Scientifiques 68, 175–186 (1988). https://doi.org/10.1007/BF02698547
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DOI: https://doi.org/10.1007/BF02698547