Teleman's conjecture via equivariant quotient correspondence and degeneration formula

Teleman conjectured that the mirror of a Hamiltonian action on a symplectic manifold is a holomorphic fibration. In this talk, I will explain this from the perspective of equivariant Lagrangian Floer theory and correspondence for symplectic quotients. Moreover, we propose a degeneration formula to compute quantum corrections captured as Floer theoretical obstructions of quotient correspondence for G = U(1). This is a joint work with Naichung Conan Leung and Yan-Lung Li.