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arXiv · 2511.06436

Higher-dimensional Heegaard Floer homology and the polynomial representation of double affine Hecke algebras

Yuan Gao·Eilon Reisin-Tzur·Yin Tian·Tianyu Yuan
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Abstract

We show that the higher-dimensional Heegaard Floer homology between tuples of cotangent fibers and the conormal bundle of a homotopically nontrivial simple closed curve on $T^2$ recovers the polynomial representation of double affine Hecke algebra of type A. We also give a topological interpretation of Cherednik's inner product on the polynomial representation.

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Yuan Gao, Eilon Reisin-Tzur, Yin Tian, Tianyu Yuan. 2025-11-09. Higher-dimensional Heegaard Floer homology and the polynomial representation of double affine Hecke algebras. https://arxiv.org/abs/2511.06436

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