Khovanov's homology for tangles and cobordisms

Details Khovanov's homology for tangles and cobordisms Khovanov's homology for tangles and cobordisms

2004-10-22

arxiv.org/abs/math/0410495v2

Geom. Topol. 9(2005) 1443-1499

Mathematics

Geometric Topology

Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol9/paper33.abs.html

Scientific paper

We give a fresh introduction to the Khovanov Homology theory for knots and links, with special emphasis on its extension to tangles, cobordisms and 2-knots. By staying within a world of topological pictures a little longer than in other articles on the subject, the required extension becomes essentially tautological. And then a simple application of an appropriate functor (a `TQFT') to our pictures takes them to the familiar realm of complexes of (graded) vector spaces and ordinary homological invariants.

Affiliated with

Also associated with

No associations

Rating

Khovanov's homology for tangles and cobordisms 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's homology for tangles and cobordisms, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Khovanov's homology for tangles and cobordisms will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-425186