New York Journal of Mathematics
Volume 19 (2013) 61-90


Carmen Caprau

The sl(2) foam cohomology via a TQFT

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Published: February 17, 2013
Keywords: Cobordisms, Frobenius Algebras, Link Invariants, TQFTs
Subject: 57M27; 19D23

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 2-dimensional TQFT.


The author was supported in part by NSF grant DMS 0906401

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Department of Mathematics, California State University, 5245 N. Backer Ave. M/S PB 108, Fresno, CA 93740-8001, USA