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Bulletin of the American Mathematical Society

Published by the American Mathematical Society, the Bulletin of the American Mathematical Society (BULL) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.47.

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Book Review

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Full text of review: PDF   This review is available free of charge.
Book Information:

Author: 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., ISBN 3-11-013704-6, $118.95 (DM 288)$

References [Enhancements On Off] (What's this?)

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  • Louis H. Kauffman, State models and the Jones polynomial, Topology 26 (1987), no. 3, 395–407. MR 899057, DOI 10.1016/0040-9383(87)90009-7
  • George Lusztig, Introduction to quantum groups, Progress in Mathematics, vol. 110, Birkhäuser Boston, Inc., Boston, MA, 1993. MR 1227098
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  • N. Reshetikhin and V. G. Turaev, Invariants of $3$-manifolds via link polynomials and quantum groups, Invent. Math. 103 (1991), no. 3, 547–597. MR 1091619, DOI 10.1007/BF01239527
  • V. G. Turaev and O. Ya. Viro, State sum invariants of $3$-manifolds and quantum $6j$-symbols, Topology 31 (1992), no. 4, 865–902. MR 1191386, DOI 10.1016/0040-9383(92)90015-A
  • V. Turaev and H. Wenzl, Quantum invariants of $3$-manifolds associated with classical simple Lie algebras, Internat. J. Math. 4 (1993), no. 2, 323–358. MR 1217386, DOI 10.1142/S0129167X93000170
  • Edward Witten, Quantum field theory and the Jones polynomial, Comm. Math. Phys. 121 (1989), no. 3, 351–399. MR 990772

  • Review Information:

    Reviewer: Greg Kuperberg
    Affiliation: Yale University
    Email: greg@math.yale.edu
    Journal: Bull. Amer. Math. Soc. 33 (1996), 107-110
    DOI: https://doi.org/10.1090/S0273-0979-96-00621-0
    Review copyright: © Copyright 1996 American Mathematical Society