• Corpus ID: 219558227

# Applications of higher-dimensional Heegaard Floer homology to contact topology

@article{Colin2020ApplicationsOH,
title={Applications of higher-dimensional Heegaard Floer homology to contact topology},
author={Vincent Colin and Ko Honda and Yin Tian},
journal={arXiv: Symplectic Geometry},
year={2020}
}
• Published 10 June 2020
• Mathematics
• arXiv: Symplectic Geometry
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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