On the Khovanov Homology of Surgeries
Geometric Topology
2017-11-07 v1
Abstract
We show a spectral sequence for the rational Khovanov homology of an oriented link in terms of the rational Khovanov complexes and homologies of the link surgeries along an admissible cut. As a non trivial corollary, we give an explicit splitting formula for the Jones polynomial.
Keywords
Cite
@article{arxiv.1711.01550,
title = {On the Khovanov Homology of Surgeries},
author = {Juan Manuel Burgos},
journal= {arXiv preprint arXiv:1711.01550},
year = {2017}
}