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. 
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References

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Let M be a closed, connected and oriented 3-manifold. This article is the first of a five part series that constructs an isomorphism between the Heegaard Floer homology groups of M and the… Expand
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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 is… Expand
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This is the second 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 is… Expand
Filtering the Heegaard Floer contact invariant
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 overtwisted… Expand
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Correction to the article: A cylindrical reformulation of Heegaard Floer homology
This note corrects one serious mistake and several smaller mistakes from arXiv:math/0502404. The main results of that paper are unchanged.
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