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Book Review
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Book Information
Author(s):
V. F. R. Jones
Title:
Subfactors and knots
Additional book information:
CBMS Regional Conference Series in Mathematics, vol. 80, American Mathematical Society, Providence, RI, ix\,+\,113 pp., US$43{.}00. ISBN 0-8218-0729-3
References:
-
- [1]
- J. W. Alexander, Topological invariants of knots and links, Trans. Amer. Math. Soc. 20 (1923), 275-306. MR 1501429
- [2]
- M. F. Atiyah, The geometry and physics of knots, Cambridge Univ. Press, London, 1990. MR 1027859 (91b:57003)
- [3]
- R. J. Baxter, Exactly solved models in statistical mechanics, Academic Press, New York, 1982. MR 690578 (86i:82002a)
- [4]
- J. S. Birman, Braids, links and mapping class groups, Ann. of Math. Stud., vol. 92, Princeton Univ. Press, Princeton, NJ, 1974. MR 0375281 (51:11477)
- [5]
- J. H. Conway, An enumeration of knots and links and some of their algebraic properties, Computational Problems in Abstract Algebra, Pergammon Press, New York, 1970, pp. 329-358. MR 0258014 (41:2661)
- [6]
- R. H. Fox, A quick trip through knot theory, Topology of Manifolds (M. K. Fort, ed.), Prentice-Hall, Englewood Cliffs, NJ, 1962, pp. 120-167. MR 0140099 (25:3522)
- [7]
- R. H. Fox and J. W. Milnor, Singularities of 2-spheres in 4-space and cobordism of knots, Osaka J. Math. 3 (1966), 257-267. MR 0211392 (35:2273)
- [8]
- P. Freyd, D. Yetter, J. Hoste, W. B. R. Lickorish, C. K. Millett, and A. Ocneanu, A new polynomial invariant of knots and links, Bull. Amer. Math. Soc. (N.S.) 12 (1985), 239-246. MR 776477 (86e:57007)
- [9]
- V. F. R. Jones, Index for subfactors, Invent. Math. 72 (1983), 1-25. MR 696688 (84d:46097)
- [10]
- -, A polynomial invariant for links via von Neumann algebras, Bull. Amer. Math. Soc. (N.S.) 129 (1987), 103-112.
- [11]
- -, A new knot polynomial and von Neumann algebras, Notices of Amer. Math. Soc. 33 (1986), 219-225. MR 830613 (87d:57007)
- [12]
- -, On knots invariants related to some statistical mechanics models, Pacific J. Math. 137 (1989), 311-334. MR 990215 (89m:57005)
- [13]
- L. H. Kauffman, The Conway polynomial, Topology 20 (1980), 101-108. MR 592573 (81m:57004)
- [14]
- -, Formal knot theory, Math. Notes, vol 30, Princeton Univ. Press, Princeton, NJ, 1983.
- [15]
- -, On knots, Ann. of Math. Stud., vol. 115, Princeton Univ. Press, Princeton, NJ, 1987.
- [16]
- -, Knots and physics, World Scientific Press, Singapore, 1991, 1993. MR 1306280 (95i:57010)
- [17]
- -, State models and the Jones polynomial, Topology 26 (1987), 395-407. MR 899057 (88f:57006)
- [18]
- -, Statistical mechanics and the Jones polynomial, Proceedings of the 1986 Santa Cruz Conference of the Artin Braid Group, Contemp. Math., vol. 78, Amer. Math. Soc., Providence, RI, pp. 263-297. MR 975085 (89j:57002)
- [19]
- -, An invariant of regular isotopy, Trans. Amer. Math. Soc. 318 (1990), 417-471. MR 958895 (90g:57007)
- [20]
- L. H. Kauffman and S. Lins, Temperley Lieb recoupling theory and invariants of 3-manifolds, Ann. of Math. Stud., Princeton Univ. Press, Princeton, NJ, 1994 (to appear). MR 1280463 (95c:57027)
- [21]
- J. W. Milnor, Singular points of complex hypersurfaces, Ann. of Math. Stud., Princeton Univ. Press, Princeton, NJ, 1968. MR 0239612 (39:969)
- [22]
- -, Infinite cyclic coverings, Topology of Manifolds (Michigan State University 1967), Prindle, Weber, and Schmidt, Boston, 1968. MR 0242163 (39:3497)
- [23]
- Przytycki and Traczyk, Invariants of links of Conway type, Kobe J. Math. 4 (1987), 115-139. MR 945888 (89h:57006)
- [24]
- K. Reidemeister, Knotentheorie, Chelsea Publ. Co., New York, 1984; Julius Springer, Berlin, 1932.
- [25]
- N. Y. Reshetikhin and V. Turaev, Invariants of 3-manifolds via link polynomials and quantum groups, Invent. Math. 103 (1991), 547-597. MR 1091619 (92b:57024)
- [26]
- D. Rolfson, Knots and links, Publish or Perish Press, Cambridge, MA, 1976. MR 0515288 (58:24236)
- [27]
- E. Witten, Quantum field theory and the Jones polynomial, Comm. Math. Phys. 121 (1989), 351-399. MR 990772 (90h:57009)
Additional Information:
Reviewer(s):
Louis H.
Kauffman
Review Information:
Journal:
Bull. Amer. Math. Soc.
31
(1994),
147-154.
DOI:
10.1090/S0273-0979-1994-00509-9
PII:
S 0273-0979(1994)00509-9
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