期刊
TOPOLOGY AND ITS APPLICATIONS
卷 161, 期 -, 页码 141-158出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.topol.2013.10.017
关键词
Braid groups; Knots; Finite type or Vassiliev invariants; HOMFLY-PT and Conway polynomials
In this paper we define and present a simple combinatorial formula for a 3-variable Laurent polynomial invariant I(a, z, t) of conjugacy classes in Artin braid group B-m. We show that the Laurent polynomial I(a, z, t) satisfies the Conway skein relation and the coefficients of the 1-variable polynomial t(-k)I(a,z,t)vertical bar(a=1,t=0) are Vassiliev invariants of braids. (C) 2013 Elsevier B.V. All rights reserved.
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