Deformations of lattice cohomology and the upsilon invariant
Geometric Topology
2020-10-16 v1
Abstract
We introduce deformations of lattice cohomology corresponding to the knot homologies found by Ozsv\' ath, Stipsicz and Szab\' o in \cite{OSS4}. By means of holomorphic triangles counting, we prove equivalence with the analytic theory for a wide class of knots. This yields combinatorial formulae for the upsilon invariant.
Keywords
Cite
@article{arxiv.2010.07511,
title = {Deformations of lattice cohomology and the upsilon invariant},
author = {Antonio Alfieri},
journal= {arXiv preprint arXiv:2010.07511},
year = {2020}
}
Comments
25 pages, 2 figures