Sutured instanton homology and Heegaard diagrams
Geometric Topology
2020-11-19 v1
Abstract
Suppose H is an admissible Heegaard diagram for a balanced sutured manifold (M,\gamma). We prove that the number of generators of the associated sutured Heegaard Floer complex is an upper bound on the dimension of the sutured instanton homology of (M,\gamma). It follows, in particular, that strong L-spaces are instanton L-spaces.
Keywords
Cite
@article{arxiv.2011.09424,
title = {Sutured instanton homology and Heegaard diagrams},
author = {John A. Baldwin and Zhenkun Li and Fan Ye},
journal= {arXiv preprint arXiv:2011.09424},
year = {2020}
}
Comments
17 pages, 9 figures