Holonomicity from a Heegaard-Floer Perspective

2025/01/02 by Cooper, Benjamin, Deyeso, Robert
#FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.2501.01519

Abstract

We construct S^r-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.

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