Algebraic torsion via Heegaard Floer homology

Cagatay Kutluhan; Gordana Matic; Jeremy Van Horn-Morris; Andy Wand

Algebraic torsion via Heegaard Floer homology

Symplectic Geometry 2016-03-11 v3 Geometric Topology

Authors: Cagatay Kutluhan , Gordana Matic , Jeremy Van Horn-Morris , Andy Wand

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.

Keywords

algebraic torsion Heegaard Floer homology ECH Seiberg-Witten Floer homology k-torsion symplectic geometry Latschev-Wendl prescription

Cite

@article{arxiv.1503.01685,
  title  = {Algebraic torsion via Heegaard Floer homology},
  author = {Cagatay Kutluhan and Gordana Matic and Jeremy Van Horn-Morris and Andy Wand},
  journal= {arXiv preprint arXiv:1503.01685},
  year   = {2016}
}

Comments

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

Algebraic torsion via Heegaard Floer homology

Abstract

Keywords

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