Algebraic torsion via Heegaard Floer homology

Abstract

We outline Hutchings's prescription that produces an ECH analog of Latschev and Wendl's algebraic $k$-torsion in the context of $ech$, a variant of ECH used in a proof of the isomorphism between Heegaard Floer and Seiberg-Witten Floer homologies; and we explain how it translates into Heegaard Floer homology.

6 pages. This version is intended as a prelude to arXiv:1603.02673, which supersedes earlier versions

References in corpus (3)

• Géométrie de contact: de la dimension trois vers les dimensions supérieures
• Tight Planar Contact Manifolds with Vanishing Heegaard Floer Contact Invariants
• Overtwisted discs in planar open books

Cited by in corpus (1)

• Algebraic Torsion in higher-dimensional contact manifolds