Geodesic
Singular TQFTs, Foams and Type D Arc Algebras
Documenta mathematica, Tome 24 (2019), pp. 1585-1655.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

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, 57M27, 81R50
Keywords: singular TQFTs, cobordism/foam categories, functorial Khovanov homology, web/arc algebras, Lie type D 
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     author = {Ehrig, Michael and Tubbenhauer, Daniel and Wilbert, Arik},
     title = {Singular {TQFTs,} {Foams} and {Type} {D} {Arc} {Algebras}},
     journal = {Documenta mathematica},
     pages = {1585--1655},
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     volume = {24},
     year = {2019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_2019__24__a25/}
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Ehrig, Michael; Tubbenhauer, Daniel; Wilbert, Arik. Singular TQFTs, Foams and Type D Arc Algebras. Documenta mathematica, Tome 24 (2019), pp. 1585-1655. http://geodesic.mathdoc.fr/item/DOCMA_2019__24__a25/