Singular TQFTs, foams and type D arc algebras

Michael Ehrig; Daniel Tubbenhauer; Arik Wilbert

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

Singular TQFTs, foams and type D arc algebras

Michael Ehrig
, Daniel Tubbenhauer
, Arik Wilbert

School of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

Abstract

We combinatorially describe the 2-category of singular cobordisms, called (rank one) foams, which governs the functorial versionof Khovanov homology. As an application we topologically realizethe type D arc algebra using this singular cobordism construction.

Original language	English
Pages (from-to)	1585-1655
Number of pages	71
Journal	Documenta Mathematica
Volume	24
DOIs	https://doi.org/10.25537/dm.2019v24.1585-1655
Publication status	Published - 2019

Keywords

Cobordism/foam categories
Functorial khovanov homology
Lie type D
Singular TQFTs
Web/arc algebras

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10.25537/dm.2019v24.1585-1655

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title = "Singular TQFTs, foams and type D arc algebras",

abstract = "We combinatorially describe the 2-category of singular cobordisms, called (rank one) foams, which governs the functorial versionof Khovanov homology. As an application we topologically realizethe type D arc algebra using this singular cobordism construction.",

keywords = "Cobordism/foam categories, Functorial khovanov homology, Lie type D, Singular TQFTs, Web/arc algebras",

author = "Michael Ehrig and Daniel Tubbenhauer and Arik Wilbert",

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AU - Ehrig, Michael

AU - Tubbenhauer, Daniel

AU - Wilbert, Arik

N1 - Publisher Copyright: © Deutsche Mathematiker Vereinigung.

PY - 2019

Y1 - 2019

N2 - We combinatorially describe the 2-category of singular cobordisms, called (rank one) foams, which governs the functorial versionof Khovanov homology. As an application we topologically realizethe type D arc algebra using this singular cobordism construction.

AB - We combinatorially describe the 2-category of singular cobordisms, called (rank one) foams, which governs the functorial versionof Khovanov homology. As an application we topologically realizethe type D arc algebra using this singular cobordism construction.

KW - Cobordism/foam categories

KW - Functorial khovanov homology

KW - Lie type D

KW - Singular TQFTs

KW - Web/arc algebras

UR - https://www.scopus.com/pages/publications/85077997663

U2 - 10.25537/dm.2019v24.1585-1655

DO - 10.25537/dm.2019v24.1585-1655

M3 - Article

AN - SCOPUS:85077997663

SN - 1431-0635

VL - 24

SP - 1585

EP - 1655

JO - Documenta Mathematica

JF - Documenta Mathematica

ER -

Singular TQFTs, foams and type D arc algebras

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Keywords

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