The \(sl(2)\) foam cohomology via a TQFT

zbMATH Open1295.57014arXiv1001.1797MaRDI QIDQ374050

Carmen Caprau

Publication date: 25 October 2013

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

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.

Full work available at URL: https://arxiv.org/abs/1001.1797

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zbMATH Keywords

topological quantum field theorycohomology of links

Mathematics Subject Classification ID

Topological quantum field theories (aspects of differential topology) (57R56) Symmetric monoidal categories (19D23)

Related Items (3)

The diagrammatic Soergel category and \(sl(N)\)-foams, for \(N\geq 4\) ⋮ A polynomial action on colored \(\mathfrak {sl}_2\) link homology ⋮ The universal \(\mathrm{sl}_3\)-link homology

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