Holomorphic polygons and the bordered Heegaard Floer homology of link complements

Thomas Hockenhull

doi:10.2140/agt.2025.25.3145

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arXiv · 1802.02443

Holomorphic polygons and the bordered Heegaard Floer homology of link complements

Thomas Hockenhull

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Abstract

We describe the construction of an $\mathcal{A}_\infty$ multi-module in terms of counts of holomorphic polygons in a series Heegaard multi-diagrams. We show that this is quasi-isomorphic to the type-A bordered-sutured invariant of a link complement with a view to calculating, in the sequel, these invariants in terms of the link Floer homology of the corresponding link.

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BibTeX RIS

Thomas Hockenhull. 2018-02-07. Holomorphic polygons and the bordered Heegaard Floer homology of link complements. https://doi.org/10.2140/agt.2025.25.3145

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