English

Combinatorial Proofs of Properties of Double-Point Enhanced Grid Homology

Geometric Topology 2025-02-19 v1

Abstract

We provide a purely combinatorial proof of a skein exact sequence obeyed by double-point enhanced grid homology. We also extend the theory to coefficients over Z,\mathbb{Z}, and discuss alternatives to the Ozsv\'ath-Szab\'o τ\tau invariant.

Keywords

Cite

@article{arxiv.2209.11898,
  title  = {Combinatorial Proofs of Properties of Double-Point Enhanced Grid Homology},
  author = {Ollie Thakar},
  journal= {arXiv preprint arXiv:2209.11898},
  year   = {2025}
}

Comments

35 pages, 6 figures