Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4658379 | Topology and its Applications | 2015 | 9 Pages |
Abstract
It is known that alternative links are pseudoalternating. In 1983 Louis Kauffman conjectured that both classes are identical. In this paper we prove that Kauffman Conjecture holds for those links whose first Betti number is at most 2. However, it is not true in general when this value increases, as we also prove by finding two counterexamples: a link and a knot whose first Betti numbers equal 3 and 4, respectively. In the way we work with the intermediate family of homogeneous links, introduced by Peter Cromwell.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Marithania Silvero,