Higher-dimensional Heegaard Floer homology and Hecke algebras
Given a closed oriented surface \Sigma of genus greater than 0, we construct a map \mathcal{F} from the wrapped 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.
Authors
- Tian Yin (ORCID: https://orcid.org/0000-0001-7039-0479)
- Ko Honda (ORCID: https://orcid.org/0000-0002-1317-702X)
- Tianyu Yuan (ORCID: https://orcid.org/0000-0002-9892-4804)
Institutions
- University of California, Los Angeles (US)
- Peking University (CN)
- Beijing Normal University (CN)
Publication Details
- Journal
- Journal of the European Mathematical Society
- Published
- 2024-08-30
- DOI
- https://doi.org/10.4171/jems/1525
- Citations
- 1
- Primary Topic
- Geometric and Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 1.01