Holonomicity from a Heegaard-Floer Perspective

Benjamin Cooper; Robert Deyeso

doi:10.48550/arxiv.2501.01519

Back

Holonomicity from a Heegaard-Floer Perspective

Preprint

Open access

Holonomicity from a Heegaard-Floer Perspective

Benjamin Cooper and Robert Deyeso

ArXiV.org

Cornell University

01/02/2025

DOI: 10.48550/arxiv.2501.01519

Files and links (1)

url

https://doi.org/10.48550/arxiv.2501.01519View

Preprint (Author's original)This preprint has not been evaluated by subject experts through peer review. Preprints may undergo extensive changes and/or become peer-reviewed journal articles. Open Access

Abstract

We construct Sr-colored knot Floer homologies and prove that they satisfy categorified recurrence relations. The associated Euler characteristic implies q-holonomicity of the corresponding sequence of colored Alexander polynomials, in analogy with the AJ conjecture for colored Jones polynomials.

Mathematics - Geometric Topology

Details

Title: Subtitle: Holonomicity from a Heegaard-Floer Perspective
Creators: Benjamin Cooper
Robert Deyeso
Resource Type: Preprint
Publication Details: ArXiV.org
DOI: 10.48550/arxiv.2501.01519
ISSN: 2331-8422
Publisher: Cornell University; Ithaca, New York
Language: English
Date posted: 01/02/2025
Academic Unit: Mathematics
Record Identifier: 9984771631302771

Metrics

5 Record Views