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Book Review
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Book Information
Author(s):
Charles Nash
Title:
Differential topology and quantum field theory
Additional book information:
Academic Press, New York, 1991, 386 pp., US$59.95. ISBN 0-12-514075-4.
References:
- [AM]
- S. Akbulut and J. McCarthy, \emph{Casson's invariant for oriented homology \RM 3-spheres---an exposition}, Princeton Univ. Press, Princeton, NJ, 1990.
- [AB]
- M. F. Atiyah and R. Bott, The Yang-Mills equations over Riemann surfaces, Philos. Trans. Roy. Soc. London Ser A \textbf{308} (1982), 523--615.
- [ADHM]
- M. F. Atiyah, V. Drinfeld, N. J. Hitchin, and Yu. I. Manin, Construction of instantons, Phys. Lett. A \textbf{65} (1978), 185--187.
- [AHS]
- M. F. Atiyah, N. Hitchin, and I. M. Singer, Self-duality in four-dimensional Riemannian geometry, Proc. Roy. Soc. London Ser. A \textbf{362} (1978), 425--461.
- [AS]
- M. F. Atiyah and I. M. Singer, Diracs operators coupled to vector potentials, Proc. Nat. Acad. Sci. U.S.A. \textbf{81} (1984), 2597--2600.
- [D1]
- S. K. Donaldson, An application of gauge theory to four dimensional topology, J. Differential Geom. \textbf{18} (1983), 279--315.
- [D2]
- S. K. Donaldson, Polynomial invariants for smooth \RM 4-manifolds, Topology \textbf{29 \RM {(1990)}}, 257--315.
- [DK]
- S. K. Donaldson and P. B. Kronheimer, The geometry of four-manifolds, Oxford Univ. Press, 1990.
- [F]
- A. Floer, An instanton invariant for \RM 3-manifolds, Comm. Math. Phys. \textbf{118} (1989), 215--240.
- [J]
- V. F. R. Jones, A polynomial invariant for knots via von Neumann algebras, Bull. Amer. Math. Soc. \textbf{12} (1985), 103--111.
- [W1]
- E. Witten, Global gravitational anomalies, Comm. Math. Phys. \textbf{100} (1985), 197--229.
- [W2]
- E. Witten, Topological quantum field theory, Comm. Math. Phys. \textbf{117} (1988), 353--386.
- [W3]
- E. Witten, Quantum field theory and the Jones polynomial, Comm. Math. Phys. \textbf{121} (1989), 351--400.
- [W4]
- E. Witten, Two-dimensional gravity and intersection theory on moduli space, Surveys in Differential Geom. (supplement to J. Differential Geom.) (1991), 243--310.
Additional Information:
Reviewer(s):
Daniel S.
Freed
Review Information:
Journal:
Bull. Amer. Math. Soc.
28
(1993),
153-157.
DOI:
10.1090/S0273-0979-1993-00340-9
PII:
S 0273-0979(1993)00340-9
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