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A new polynomial invariant of knots and links
Author(s):
P.
Freyd;
D.
Yetter;
J.
Hoste;
W. B. R.
Lickorish;
K.
Millett;
A.
Ocneanu
Journal:
Bull. Amer. Math. Soc.
12
(1985),
239-246.
MSC (1980):
Primary 57M25
MathSciNet review:
776477
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References:
- 1.
- E. Artin, Theorie der Zopfe, Hamburg Abh 9, pp. 47-72.
- 2.
- J. W. Alexander, Topological invariants of knots and links, Trans. Amer. Math. Soc. 30 (1928), 275-306. MR 1501429
- 3.
- J. Birman, Braids, links and mapping class groups, Ann. Math. Studies 82 (1974). MR 375281
- 4.
- J. Birman, On the Jones polynomial of closed 3-braids (to appear). MR 799267
- 5.
- N. Bourbaki, Groupes et algèbres de Lie, Chaps. 4, 5, 6, no. 1337, Hermann, Paris, 1960-1972.
- 6.
- J. H. Conway, An enumeration of knots and links, Computational Problems in Abstract Algebra, Pergamon, N.Y., 1970, pp. 329-358. MR 258014
- 7.
- C. Giller, A family of links and the Conway calculus, Trans. Amer. Math. Soc. 270 (1982), 75-109. MR 642331
- 8.
- V. F. R. Jones, Index for subfactors, Invent. Math. 72 (1983), 1-25. MR 696688
- 9.
- V. F. R. Jones, Braid groups, Hecke algebras and type II1 factors, Proc. Japan-U.S. Conf., 1983 (to appear).
- 10.
- V. F. R. Jones, A polynomial invariant for knots via von Neumann algebras, Bull. Amer. Math. Soc. 12 (1985), 103-112. MR 766964
- 11.
- W. B. R. Lickorish, Prime knots and tangles, Trans. Amer. Math. Soc. 267 (1981), 321-332. MR 621991
- 12.
- A. A. Markov, Über die freie Aequivalenz geschlossener Zopfe, Mat. Sb. 1 (1935), 73-78.
- 13.
- A. Wasserman, Thesis, Univ. of Pennsylvania, 1981.
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Additional Information:
DOI:
10.1090/S0273-0979-1985-15361-3
PII:
S 0273-0979(1985)15361-3
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