Floer homology, clasp-braids and detection results

Fraser Binns; Subhankar Dey

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arXiv · 2405.11224

Floer homology, clasp-braids and detection results

Fraser Binns·Subhankar Dey

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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 $L7n2$, as well as infinite families of detection results for link Floer homology and annular Khovanov homology.

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Fraser Binns, Subhankar Dey. 2024-05-18. Floer homology, clasp-braids and detection results. https://arxiv.org/abs/2405.11224

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