The Soergel category and the redotted Webster algebra
Quantum Algebra
2016-05-10 v1 Geometric Topology
Representation Theory
Abstract
We describe a collection of graded rings which surject onto Webster rings for sl(2) and which should be related to certain categories of singular Soergel bimodules. In the first non-trivial case, we construct a categorical braid group action which categorifies the Burau representation.
Keywords
Cite
@article{arxiv.1605.02678,
title = {The Soergel category and the redotted Webster algebra},
author = {Mikhail Khovanov and Joshua Sussan},
journal= {arXiv preprint arXiv:1605.02678},
year = {2016}
}