An example of higher-dimensional Heegaard Floer homology
Symplectic Geometry
2025-07-02 v1 Quantum Algebra
Abstract
We count pseudoholomorphic curves in the higher-dimensional Heegaard Floer homology of disjoint cotangent fibers of a two dimensional disk. We show that the resulting algebra is isomorphic to the Hecke algebra associated to the symmetric group.
Keywords
Cite
@article{arxiv.2212.10187,
title = {An example of higher-dimensional Heegaard Floer homology},
author = {Yin Tian and Tianyu Yuan},
journal= {arXiv preprint arXiv:2212.10187},
year = {2025}
}