Floer homology, clasp-braids and detection results
Geometric Topology
2024-05-21 v1
Abstract
Martin showed that link Floer homology detects braid axes. In this paper we extend this result to give a topological characterisation of links which are almost braided from the point of view of link Floer homology. The result is inspired by work of Baldwin-Sivek and Li-Ye on nearly fibered knots. Applications include that Khovanov homology detects the Whitehead link and , as well as infinite families of detection results for link Floer homology and annular Khovanov homology.
Keywords
Cite
@article{arxiv.2405.11224,
title = {Floer homology, clasp-braids and detection results},
author = {Fraser Binns and Subhankar Dey},
journal= {arXiv preprint arXiv:2405.11224},
year = {2024}
}
Comments
67 pages, 15 figures