Skein modules of 3-manifolds

作者: Jozef H. Przytycki

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摘要: It is natural to try place the new polynomial invariants of links in algebraic topology (e.g. interpret them using homology or homotopy groups). However, one can think that these are byproducts a more delicate invariant 3-manifolds which measures obstruction isotopy (which homotopic). We propose such an based on skein theory introduced by Conway (1969) and developed Giller (1982) as well Lickorish Millett (1987). (This first paper I wrote about modules, almost 20 years ago. The recent survey modules available at this http URL)

参考文章(5)
Jim Hoste, J{ózef H. Przytycki, An invariant of dichromatic links Proceedings of the American Mathematical Society. ,vol. 105, pp. 1003- 1007 ,(1989) , 10.1090/S0002-9939-1989-0989100-0
W.B.R. Lickorish, Kenneth C. Millett, A polynomial invariant of oriented links Topology. ,vol. 26, pp. 107- 141 ,(1987) , 10.1016/0040-9383(87)90025-5
Cole A. Giller, A family of links and the conway calculus Transactions of the American Mathematical Society. ,vol. 270, pp. 75- 109 ,(1982) , 10.1090/S0002-9947-1982-0642331-X
P. Freyd, D. Yetter, J. Hoste, W. B. R. Lickorish, K. Millett, A. Ocneanu, A new polynomial invariant of knots and links Bulletin of the American Mathematical Society. ,vol. 12, pp. 239- 246 ,(1985) , 10.1090/S0273-0979-1985-15361-3
Jozef H. Przytycki, Pawel Traczyk, Invariants of links of Conway type Kobe journal of mathematics. ,vol. 4, pp. 115- 139 ,(1988)