Singular TQFTs, Foams and Type D Arc Algebras
Michael EhrigBeijing Institute of Technology, School of Mathematics and Statistics, Liangxiang Campus of Beijing Institute of Technology, Fangshan District, 100488 Beijing, China
Daniel TubbenhauerInstitut für Mathematik, Universität Zürich, Winterthurerstrasse 190, Campus Irchel, CH-8057 Zürich, Switzerland
Arik WilbertDepartment of Mathematics, University of Georgia, Athens, GA 30602, 526 Boyd GSRC, USA
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
Michael Ehrig, Daniel Tubbenhauer, Arik Wilbert, Singular TQFTs, Foams and Type D Arc Algebras. Doc. Math. 24 (2019), pp. 1585–1655DOI 10.4171/DM/710