**Data**

- Title: The Blanchet-Khovanov algebras
- Authors: Michael Ehrig, Catharina Stroppel and Daniel Tubbenhauer
- Status: Categorification and Higher Representation Theory, 183-226, Contemp. Math., 683, Amer. Math. Soc., Providence, RI, 2017. Last update: Thu, 26 Jan 2017 07:12:18 EST
- ArXiv link: http://arxiv.org/abs/1510.04884
- ArXiv version = 0.99 published version
- LaTex Beamer presentation: Slides1, Slides2

**Abstract**

**A few extra words**

An example of such foams is provided by the following relation which holds in the -linear -category consisting of these singular cobordisms:

This relation is called the neck cutting relation and plays a crucial part in the whole story.

Working with such foams is topolocially motivated, but hard in practice. In this paper we give an algebraic counterpart of . This provides a direct link between the topological and the algebraic point of view. As a consequence, computations (which are hard to do in practice on the topological side) can be done on the algebraic side, whereas the associativity (a non-trivial fact on the algebraic side) is clear from the topological point of view.