Holonomicity from a Heegaard-Floer Perspective

Published 2 Jan 2025 in math.GT | (2501.01519v2)

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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