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Book Review
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Book Information
Author(s):
Michael Atiyah
Title:
The geometry and physics of knots
Additional book information:
Cambridge Univ. Press, 1990, 75 pp., US$39.50. ISBN 0-521-39521-6
References:
-
- [1]
- J. W. Alexander, Topoligical invariants of knots and links, Trans. Amer. Math. Soc. 30 (1928), 275. MR 1501429
- [2]
- R. Bott, Two new combinatorial invariants for polyhedra, Portugal. Math. 2 (1952), pp. 35-40. MR 0048820 (14:74d)
- [3]
- S. Donaldson, An application of gauge theory to the topology of four manifolds, J. Differential Geom. 18 (1983), 269; Polynomial invariants for smooth four-manifolds, Oxford preprint. MR 710056 (85c:57015)
- [4]
- R. MacPherson, The combinatorial formula of Gabrielov, Gelfand, and Losik for the first Pontrjagin class, Séminaire Bourbaki No. 497, Lecture Notes in Math., vol. 667, Berlin and New York, 1977. MR 521763 (81a:57022)
- [5]
- L. Kaufman, State models and the Jones polynomial, Topology, 26 (1987), 395-407. MR 899057 (88f:57006)
- [6]
- I. Lakatos, Proofs and refutations, Cambridge Univ. Press, London and New York, 1976. MR 0479916 (58:122)
- [7]
- V. F. R. Jones, A polynomial invariant for knots via von Neumann algebras, Bull. Amer. Math. Soc. (N.S.) 12 (1985), 103-111. MR 766964 (86e:57006)
- [8]
- E. Witten, Quantum field theory and the Jones polynomial, Comm. Math. Phys. 121 (1989), 351-399. MR 990772 (90h:57009)
Additional Information:
Reviewer(s):
Raoul
Bott
Review Information:
Journal:
Bull. Amer. Math. Soc.
26
(1992),
182-188.
DOI:
10.1090/S0273-0979-1992-00251-3
PII:
S 0273-0979(1992)00251-3
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