Bordered Floer homology with integral coefficients for manifolds with torus boundary

Douglas Knowles; Ina Petkova

Bordered Floer homology with integral coefficients for manifolds with torus boundary

Geometric Topology 2021-08-02 v2

Authors: Douglas Knowles , Ina Petkova

Abstract

We provide a combinatorial definition of a bordered Floer theory with $\mathbb Z$ coefficients for manifolds with torus boundary. Our bordered Floer structures recover the combinatorial Heegaard Floer homology defined by Ozsv\'ath, Stipsicz, and Szab\'o.

Keywords

bordered floer homology integral coefficients torus boundary combinatorial definition heegaard floer homology

Cite

@article{arxiv.2104.15120,
  title  = {Bordered Floer homology with integral coefficients for manifolds with torus boundary},
  author = {Douglas Knowles and Ina Petkova},
  journal= {arXiv preprint arXiv:2104.15120},
  year   = {2021}
}

Comments

47 pages, 23 figures; corrected typos, added a new short section at the end

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