The sl(2) foam cohomology via a TQFT

Abstract

We construct a cohomology theory for oriented links using singular cobordisms and a special type of 2-dimensional Topological Quantum Field Theory (TQFT), categorifying the quantum sl(2) invariant. In particular, we give a description of the universal dot-free sl(2) foam cohomology for links via a TQFT.

24 pages, many figures; references have been added and some concepts have been clarified

References in corpus (3)

• The universal sl(2) cohomology via webs and foams
• Open-closed TQFTs extend Khovanov homology from links to tangles
• On the sl(2) foam cohomology computations