English

Singular TQFTs, foams and type D arc algebras

Geometric Topology 2019-11-05 v3 Quantum Algebra Representation Theory

Abstract

We combinatorially describe the 22-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\mathrm{D} arc algebra using this singular cobordism construction.

Keywords

Cite

@article{arxiv.1611.07444,
  title  = {Singular TQFTs, foams and type D arc algebras},
  author = {Michael Ehrig and Daniel Tubbenhauer and Arik Wilbert},
  journal= {arXiv preprint arXiv:1611.07444},
  year   = {2019}
}

Comments

52 pages, many colored figures, revised version, to appear in Doc. Math., comments welcome