Remarks on definition of Khovanov homology

Details Remarks on definition of Khovanov homology Remarks on definition of Khovanov homology

2002-02-20

arxiv.org/abs/math/0202199v1

Mathematics

Geometric Topology

11 pages, 4 figures

Scientific paper

Mikhail Khovanov in math.QA/9908171 defined, for a diagram of an oriented classical link, a collection of groups numerated by pairs of integers. These groups were constructed as homology groups of certain chain complexes. The Euler characteristics of these complexes are coefficients of the Jones polynomial of the link. The goal of this note is to rewrite this construction in terms more friendly to topologists. A version of Khovanov homology for framed links is introduced. For framed links whose Kauffman brackets are involved in a skein relation, these homology groups are related by an exact sequence.

Affiliated with

Also associated with

No associations

Rating

Remarks on definition of Khovanov homology does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Remarks on definition of Khovanov homology, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Remarks on definition of Khovanov homology will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-538847