Higher-dimensional Heegaard Floer homology and Hecke algebras
| Title: | Higher-dimensional Heegaard Floer homology and Hecke algebras |
|---|---|
| Authors: | Honda, Ko, Tian, Yin, Yuan, Tianyu |
| Publication Year: | 2022 |
| Collection: | Mathematics |
| Subject Terms: | Mathematics - Symplectic Geometry, Mathematics - Geometric Topology, Mathematics - Quantum Algebra |
| More Details: | 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. |
| Document Type: | Working Paper |
| Access URL: | http://arxiv.org/abs/2202.05593 |
| Accession Number: | edsarx.2202.05593 |
| Database: | arXiv |
Be the first to leave a comment!