English

On sign assignments in link Floer homology

Geometric Topology 2018-12-07 v1

Abstract

In this short note, we compare the combinatorial sign assignment of Manolescu, Ozsvath, Szabo and Thurston for grid homology of knots and links in 3-sphere with the sign assignment coming from a coherent system of orientations on Whitney disks. Although these constructions produce different signs, a small modification of the convention in either of the two methods results in identical sign assignments, and thus identical chain complexes.

Keywords

Cite

@article{arxiv.1812.02374,
  title  = {On sign assignments in link Floer homology},
  author = {Eaman Eftekhary},
  journal= {arXiv preprint arXiv:1812.02374},
  year   = {2018}
}