Bibliographic Details
| 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 |
