The Blanchet-Khovanov algebras
Representation Theory
2017-03-28 v3 Geometric Topology
Quantum Algebra
Abstract
Blanchet introduced certain singular cobordisms to fix the functoriality of Khovanov homology. In this paper we introduce graded algebras consisting of such singular cobordisms \`a la Blanchet. As the main result we give algebraic versions of these algebras using the combinatorics of arc diagrams.
Cite
@article{arxiv.1510.04884,
title = {The Blanchet-Khovanov algebras},
author = {Michael Ehrig and Catharina Stroppel and Daniel Tubbenhauer},
journal= {arXiv preprint arXiv:1510.04884},
year = {2017}
}
Comments
40 pages, many colored figures, revised version (e.g. added suggestions of a referee), to appear in Contemp. Math., Perspectives on Categorification, comments welcome