论文标题
高维的Heegaard浮子同源性和Hecke代数
Higher-dimensional Heegaard Floer homology and Hecke algebras
论文作者
论文摘要
给定一个大于0的封闭式表面$σ$，我们从$ t^*σ$的cotangent纤维的高维Heegaard Floer同源物中构造了一个地图$ \ Mathcal {f} $。我们还为穿刺表面建立了类似的结果。
Given a closed oriented surface $Σ$ of genus greater than 0, we construct a map $\mathcal{F}$ from the higher-dimensional Heegaard Floer homology of the cotangent fibers of $T^*Σ$ to the Hecke algebra associated to $Σ$ and show that $\mathcal{F}$ is an isomorphism of algebras. We also establish analogous results for punctured surfaces.
