Sutured Khovanov homology distinguishes braids from other tangles
Geometric Topology
2014-08-26 v2 Quantum Algebra
Representation Theory
Abstract
We show that the sutured Khovanov homology of a balanced tangle in the product sutured manifold D x I has rank 1 if and only if the tangle is isotopic to a braid.
Cite
@article{arxiv.1305.2183,
title = {Sutured Khovanov homology distinguishes braids from other tangles},
author = {J. Elisenda Grigsby and Yi Ni},
journal= {arXiv preprint arXiv:1305.2183},
year = {2014}
}
Comments
9 pages, 1 figure, Definition of sutured annular Khovanov homology in Section 2.1 has significant text overlap with arXiv:1212.2222; Version 2 incorporates referee comments. This is the version accepted for publication in Mathematical Research Letters