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arXiv · 2202.05593

Higher-dimensional Heegaard Floer homology and Hecke algebras

Ko Honda·Yin Tian·Tianyu Yuan
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Abstract

Given a closed oriented surface $\Sigma$ of genus greater than 0, we construct a map $\mathcal{F}$ from the higher-dimensional Heegaard Floer homology of the cotangent fibers of $T^*\Sigma$ to the Hecke algebra associated to $\Sigma$ and show that $\mathcal{F}$ is an isomorphism of algebras. We also establish analogous results for punctured surfaces.

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Ko Honda, Yin Tian, Tianyu Yuan. 2022-02-11. Higher-dimensional Heegaard Floer homology and Hecke algebras. https://arxiv.org/abs/2202.05593

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