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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, Topological invariants of knots and links, Trans. Amer. Math. Soc. {\bf 30} (1928), 275.
- [2]
- R. Bott, Two new combinatorial invariants for polyhedra, Portugal. Math. {\bf 2} (1952), pp. 35--40.
- [3]
- S. Donaldson, An application of gauge theory to the topology of four manifolds, J. Differential Geom. {\bf 18} (1983), 269; {\it Polynomial invariants for smooth four-manifolds}, Oxford, preprint.
- [4]
- R. MacPherson, The combinatorial formula of Gabrielov, Gelfand, and Losik for the first Pontrjagin class, S\'eminaire Bourbaki No. 497, Lecture Notes in Math., vol. 667, Berlin and New York, 1977.
- [5]
- L. Kaufman, State models and the Jones polynomial, Topology, \textbf{26} (1987), 395--407.
- [6]
- I. Lakatos, Proofs and refutations, Cambridge Univ. Press, London and New York, 1976.
- [7]
- V. F. R. Jones, A polynomial invariant for knots via von Neumann algebras, Bull. Amer. Math. Soc. (N.S.) \textbf{12} (1985), 103--111.
- [8]
- E. Witten, Quantum field theory and the Jones polynomial, Comm. Math. Phys. \textbf{121} (1989), 351--399.
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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