2021/02/05 by Hanwool Bae, Naichung Conan Leung, Bae, Hanwool +1
Mathematics · #53D45 #53Dxx #57R58 #FOS: Mathematics #Geometric and Algebraic Topology #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology #Symplectic Geometry (math.SG)
paper · pdf · doi:10.48550/arxiv.2102.03103
openalex publication_date 2021/02/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
For a simply-connected compact semisimple Lie group G and its maximal torus T, we study the A∞-functor associated to the moment Lagrangian correspondence from the cotangent bundle T^*G to the square G/T- × G/T. In particular, we compute the leading term of the A∞-homomorphism from the wrapped Floer cohomology HW^*(T^*e G, T^*e G) of the cotangent fiber Te^*G to the Floer cohomology HF^*(Δ, Δ) of the diagonal Δ in the square G/T- × G/T by determining the count of certain pseudo-holomorphic quilts. As a consequence, we prove that the Floer cohomologies HW^*(T^*e G, T^*e G) and HF^*(Δ,Δ) are isomorphic as rings after a localization.