Holonomicity from a Heegaard-Floer Perspective
Geometric Topology
2025-03-18 v2
Abstract
We construct -colored knot Floer homologies and prove that they satisfy categorified recurrence relations. The associated Euler characteristic implies -holonomicity of the corresponding sequence of colored Alexander polynomials, in analogy with the AJ conjecture for colored Jones polynomials.
Cite
@article{arxiv.2501.01519,
title = {Holonomicity from a Heegaard-Floer Perspective},
author = {Benjamin Cooper and Robert Deyeso},
journal= {arXiv preprint arXiv:2501.01519},
year = {2025}
}
Comments
a number of typos corrected