Singular TQFTs, Foams and Type D Arc Algebras
Documenta mathematica, Tome 24 (2019), pp. 1585-1655
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.
Classification :
16G10, 17B10, 17B37, 81R50
Mots-clés : singular TQFTs, cobordism/foam categories, functorial Khovanov homology, web/arc algebras, Lie type D
Mots-clés : singular TQFTs, cobordism/foam categories, functorial Khovanov homology, web/arc algebras, Lie type D
@article{10_4171_dm_710,
author = {Arik Wilbert and Daniel Tubbenhauer and Michael Ehrig},
title = {Singular {TQFTs,} {Foams} and {Type} {D} {Arc} {Algebras}},
journal = {Documenta mathematica},
pages = {1585--1655},
year = {2019},
volume = {24},
doi = {10.4171/dm/710},
url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/710/}
}
Arik Wilbert; Daniel Tubbenhauer; Michael Ehrig. Singular TQFTs, Foams and Type D Arc Algebras. Documenta mathematica, Tome 24 (2019), pp. 1585-1655. doi: 10.4171/dm/710
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