A homological action on sutured instanton homology
Geometric Topology
2023-07-03 v1
Abstract
We define a homological action on sutured instanton Floer homology. This action is well-defined up to scalars, and behaves well under connected sums and sutured manifold decompositions. As an application, we show that instanton knot homology detects link splitting for two-component links.
Keywords
Cite
@article{arxiv.2306.17353,
title = {A homological action on sutured instanton homology},
author = {Hongjian Yang},
journal= {arXiv preprint arXiv:2306.17353},
year = {2023}
}
Comments
12 pages, 1 figure; comments are welcome