The sl(2) foam cohomology via a TQFT

Mathematics – Geometric Topology

Scientific paper

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

Scientific paper

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.

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