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Book Review
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Book Information
Author(s):
V. G. Turaev
Title:
Quantum invariants of knots and 3-manifolds
Additional book information:
de Gruyter Studies in Mathematics, vol. 18, Walter de Gruyter,
Berlin,
1994,
x + 588 pp.,
$118.95 (DM 288),
ISBN 3-11-013704-6
References:
- 1
- H. H. Andersen. Tensor products of quantized tilting modules. Comm. Math. Phys. 149:149--159, 1992. MR 94b:17015
- 2
- V. Drinfel'd. Quantum groups. In Proceedings of the International Congress of Mathematicians, volume 1, pages 798--820, Berkeley, California, 1986. MR 89f:17017
- 3
- V. F. R. Jones. Index of subfactors. Invent. Math. 72:1--25, 1983. MR 84d:46097
- 4
- L. H. Kauffman. State models and the Jones polynomial. Topology 26:395--407, 1987. MR 88f:57006
- 5
- G. Lusztig. Introduction to quantum groups. Progress in Math., vol. 110, Birkhäuser, Boston-Basel-Stuttgart, 1993. MR 94m:17016
- 6
- N. Yu. Reshetikhin and V. G. Turaev. Ribbon graphs and their invariants derived from quantum groups. Comm. Math. Phys. 127:1--26, 1990. MR 91c:57016
- 7
- N. Yu. Reshetikhin and V. G. Turaev. Invariants of
 -manifolds via link polynomials and quantum groups. Invent. Math. 103:547--597, 1991. MR 92b:57024 - 8
- V. G. Turaev and O. Y. Viro. State sum invariants of
 -manifolds and quantum  -symbols. Topology 31:865--902, 1992. MR 94d:57044 - 9
- V. G. Turaev and H. Wenzl. Quantum invariants of
 -manifolds associated with classical simple Lie algebras. Internat. J. Math. 4:323--358, 1993. MR 94i:57019 - 10
- E. Witten. Quantum field theory and the Jones polynomial. Comm. Math. Phys. 121:351--399, 1989. MR 90h:57009
Additional Information:
Reviewer(s):
Greg
Kuperberg
Affiliation:
Yale University
Email:
greg@math.yale.edu
Review Information:
Journal:
Bull. Amer. Math. Soc.
33
(1996),
107-110.
DOI:
10.1090/S0273-0979-96-00621-0
PII:
S 0273-0979(96)00621-0
Copyright of article:
Copyright
1996,
American Mathematical Society
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