Combinatorial Proofs of Properties of Double-Point Enhanced Grid Homology

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 $\mathbb{Z},$ and discuss alternatives to the Ozsváth-Szabó $\tau$ invariant.

35 pages, 6 figures

References in corpus (2)

• Floer homology and knot complements
• On combinatorial link Floer homology