Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6424665 | Topology and its Applications | 2015 | 10 Pages |
Abstract
The Î-polynomial is an invariant of an oriented link in the 3-sphere, which is the common zeroth coefficient polynomial of both the HOMFLYPT and Kauffman polynomials. It is known that the HOMFLYPT and Kauffman polynomials, their 2-cable versions, and the satellite versions of the Alexander and Jones polynomials are invariant under mutation. On the other hand, there exists a mutant knot pair which is distinguished by the 3-cable version of the HOMFLYPT polynomial. In this paper, we show that the 3-cable version of the Î-polynomial is invariant under mutation.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Hideo Takioka,