Combinatorial knot Floer homology and cyclic branched covers

Fatemeh Douroudian; Iman Setayesh

Combinatorial knot Floer homology and cyclic branched covers

Geometric Topology 2018-05-01 v1

Authors: Fatemeh Douroudian , Iman Setayesh

Abstract

Using a Heegaard diagram for the pullback of a knot $K \subset S^3$ in its cyclic branched cover $\Sigma_m(K)$ obtained from a grid diagram for $K$ , we give a combinatorial proof for the invariance of the associated combinatorial knot Floer homology over $\mathbb{Z}$ .

Keywords

knot Floer homology cyclic branched cover grid diagram Heegaard diagram combinatorial invariance

Cite

@article{arxiv.1804.11233,
  title  = {Combinatorial knot Floer homology and cyclic branched covers},
  author = {Fatemeh Douroudian and Iman Setayesh},
  journal= {arXiv preprint arXiv:1804.11233},
  year   = {2018}
}

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