Singular crossings and Ozsv\'ath-Szab\'o's Kauffman-states functor

Andrew Manion

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arXiv · 1904.10983

Singular crossings and Ozsv\'ath-Szab\'o's Kauffman-states functor

Andrew Manion

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Abstract

Recently, Ozsv\'ath and Szab\'o introduced some algebraic constructions computing knot Floer homology in the spirit of bordered Floer homology, including a family of algebras B(n) and, for a generator of the braid group on n strands, a certain type of bimodule over B(n). We define analogous bimodules for singular crossings. Our bimodules are motivated by counting holomorphic disks in a bordered sutured version of a Heegaard diagram considered previously by Ozsv\'ath, Stipsicz, and Szab\'o.

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Andrew Manion. 2019-04-24. Singular crossings and Ozsv\'ath-Szab\'o's Kauffman-states functor. https://arxiv.org/abs/1904.10983

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