HOMFLY polynomials of some generalized Hopf links

被引:3
|
作者
Chan, TH [1 ]
机构
[1] SUNY Coll Fredonia, Dept Math & Comp Sci, Fredonia, NY 14063 USA
关键词
D O I
10.1142/S0218216500000499
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The Hopf link, consisting of two unknots wrapped around each other, is the simplest possible nontrivial link with more than one component. We can generalize it to two bundles of "parallel" unknots wrapped around each other. In this paper, we show that when one of the two bundles has a fixed size, the HOMFLY polynomials of the links satisfy a system of recurrence equations. This leads to a procedure for computing explicit formulas for the HOMFLY polynomials.
引用
收藏
页码:865 / 883
页数:19
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