English

Crossing change maps in filtered grid homology

Geometric Topology 2023-03-09 v1

Abstract

We extend the crossing-change maps between grid complexes, defined by Ozsv\'ath-Szab\'o-Stipsicz, to filtered grid complexes and give a combinatorial formulation of the Alishahi-Eftekhary l(K)\mathfrak{l}(K) knot invariant.

Keywords

Cite

@article{arxiv.2303.04227,
  title  = {Crossing change maps in filtered grid homology},
  author = {Matthew Kendall},
  journal= {arXiv preprint arXiv:2303.04227},
  year   = {2023}
}

Comments

15 pages, 7 figures. Comments welcome!