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Title: Khovanov's homology for tangles and cobordisms
Authors: Dror Bar-Natan
Categories: math.GT Geometric Topology (math.QA Quantum Algebra)
Comments: Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol9/paper33.abs.html
MSC: 57M25, 57M27
Journal reference: Geom. Topol. 9(2005) 1443-1499
Abstract: 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.
Owner: Dror Bar-Natan
Version 1: Fri, 22 Oct 2004 16:55:13 GMT
Version 2: Tue, 9 Aug 2005 11:30:24 GMT