Normal surfaces and colored Khovanov homology
Geometric Topology
2022-02-01 v1
Abstract
We show that colored Khovanov homology detects classes of essential surfaces as a direct analogue of the slope conjectures for the colored Jones polynomial. We do this by identifying certain generators of the colored Khovanov chain complex with normal surfaces in the complement of the knot using an ideal triangulation from a diagram.
Keywords
Cite
@article{arxiv.2201.13393,
title = {Normal surfaces and colored Khovanov homology},
author = {Christine Ruey Shan Lee},
journal= {arXiv preprint arXiv:2201.13393},
year = {2022}
}
Comments
26 pages, 26 figures