JournalsdmVol. 24pp. 1585–1655

Singular TQFTs, Foams and Type D Arc Algebras

  • Arik Wilbert

    Department of Mathematics, University of Georgia, Athens, GA 30602, 526 Boyd GSRC, USA

  • Daniel Tubbenhauer

    Institut für Mathematik, Universität Zürich, Winterthurerstrasse 190, Campus Irchel, CH-8057 Zürich, Switzerland
    ORCID

  • Michael Ehrig

    Beijing Institute of Technology, School of Mathematics and Statistics, Liangxiang Campus of Beijing Institute of Technology, Fangshan District, 100488 Beijing, China
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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 D arc algebra using this singular cobordism construction.

Cite this article

Arik Wilbert, Daniel Tubbenhauer, Michael Ehrig, Singular TQFTs, Foams and Type D Arc Algebras. Doc. Math. 24 (2019), pp. 1585–1655

DOI 10.4171/DM/710