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arXiv · 2006.05701

Applications of higher-dimensional Heegaard Floer homology to contact topology

Vincent Colin·Ko Honda·Yin Tian
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Abstract

The goal of this paper is to set up the general framework of higher-dimensional Heegaard Floer homology, define the contact class, and use it to give an obstruction to the Liouville fillability of a contact manifold and a sufficient condition for the Weinstein conjecture to hold. We discuss several classes of examples including those coming from analyzing a close cousin of symplectic Khovanov homology and the analog of the Plamenevskaya invariant of transverse links.

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Vincent Colin, Ko Honda, Yin Tian. 2020-06-10. Applications of higher-dimensional Heegaard Floer homology to contact topology. https://arxiv.org/abs/2006.05701

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