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Higher-dimensional Heegaard Floer homology and Hecke algebras

  • Ko Honda

    University of California at Los Angeles, Los Angeles, USA

  • Yin Tian

    Beijing Normal University, Beijing, P. R. China

  • Tianyu Yuan

    Peking University, Beijing, P. R. China
Higher-dimensional Heegaard Floer homology and Hecke algebras cover

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Abstract

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

Cite this article

Ko Honda, Yin Tian, Tianyu Yuan, Higher-dimensional Heegaard Floer homology and Hecke algebras. J. Eur. Math. Soc. (2024), published online first

DOI 10.4171/JEMS/1525