KNOT POLYNOMIALS AND VASSILIEV INVARIANTS

被引：271

作者：

BIRMAN, JS

LIN, XS

机构：

[1] Department of Mathematics, Columbia University, New York, 10027, NY

来源：

INVENTIONES MATHEMATICAE | 1993年 / 111卷 / 02期

关键词：

D O I：

10.1007/BF01231287

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A fundamental relationship is established between Jones' knot invariants and Vassiliev's knot invariants. Since Vassiliev's knot invariants have a firm grounding in classical topology, one obtains as a result a first step in understanding the Jones polynomial by topological methods.

引用

页码：225 / 270

页数：46

共 14 条

[1]

BARNATAN D, 1990, THESIS PRINCETON U

[2] JONES BRAID-PLAT FORMULA AND A NEW SURGERY TRIPLE [J].