Applications of higher-dimensional Heegaard Floer homology to contact topology
arXiv:2006.05701
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.
arXiv comment72 pages
References in corpus (7)
- On the stable equivalence of open books in three-manifolds
- The equivalence of Heegaard Floer homology and embedded contact homology via open book decompositions II
- The equivalence of Heegaard Floer homology and embedded contact homology III: from hat to plus
- The symplectic arc algebra is formal
- Convex hypersurface theory in contact topology
- Bypass attachments in higher-dimensional contact topology
- Stability and triviality of the transverse invariant from Khovanov homology