Corpus ID: 117790864

# Algebraic torsion via Heegaard Floer homology

@article{Kutluhan2015AlgebraicTV,
title={Algebraic torsion via Heegaard Floer homology},
author={Çağatay Kutluhan and Gordana Mati{\'c} and Jeremy van Horn-Morris and Andy Wand},
journal={arXiv: Symplectic Geometry},
year={2015}
}
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.
7 Citations

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This is the third of five papers that construct an isomorphism between the Seiberg-Witten Floer homology and the Heegaard Floer homology of a given compact, oriented 3-manifold. The isomorphism isExpand
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We define an invariant of contact structures in dimension three from Heegaard Floer homology. This invariant takes values in the set $\mathbb{Z}_{\geq0}\cup\{\infty\}$. It is zero for overtwistedExpand
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This note corrects one serious mistake and several smaller mistakes from arXiv:math/0502404. The main results of that paper are unchanged.