Singular TQFTs, foams and type D arc algebras

Ehrig, Michael; Tubbenhauer, Daniel; Wilbert, Arik

doi:10.25537/dm.2019v24.1585-1655

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Singular TQFTs, foams and type D arc algebras

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Wilbert, Arik
Max Planck Institute for Mathematics, Max Planck Society;

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Citation

Ehrig, M., Tubbenhauer, D., & Wilbert, A. (2019). Singular TQFTs, foams and type D arc algebras. Documenta Mathematica, 24, 1585-1655. doi:10.25537/dm.2019v24.1585-1655.

Cite as: https://hdl.handle.net/21.11116/0000-0005-18D4-1

Abstract

We combinatorially describe the $2$-category of singular cobordisms, called

(rank one) foams, which governs the functorial version of Khovanov homology. As

an application we topologically realize the type $\mathrm{D}$ arc algebra using

this singular cobordism construction.