2022/02/11 by Honda, Ko, Tian, Yin, Yuan, Tianyu · 2 citations
#FOS: Mathematics #Geometric Topology (math.GT) #Quantum Algebra (math.QA) #Symplectic Geometry (math.SG)
paper · doi:10.48550/arxiv.2202.05593
Given a closed oriented surface Σ of genus greater than 0, we construct a map 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 F is an isomorphism of algebras. We also establish analogous results for punctured surfaces.