Khovanov Homology for Alternating Tangles

Details Khovanov Homology for Alternating Tangles Khovanov Homology for Alternating Tangles

2010-03-24

arxiv.org/abs/1003.4766v1

Mathematics

Geometric Topology

20 pages, 9 figures

Scientific paper

We describe a diagonal condition on the Khovanov complex of tangles, show that this condition is satisfied by the Khovanov complex of the single crossing tangles, and prove that it is preserved by alternating planar algebra compositions. Hence, this condition is satisfied by the Khovanov complex of all alternating tangles. Finally, in the case of 0-tangles, that is links, our condition is equivalent to a well known result which states that the Khovanov homology of a non-split alternating link is supported in two lines.

Affiliated with

Also associated with

No associations

Rating

Khovanov Homology for Alternating Tangles 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 Khovanov Homology for Alternating Tangles, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Khovanov Homology for Alternating Tangles will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-555554