Moment Lagrangian correspondences are unobstructed after bulk deformation

TL;DR

This paper proves that certain Lagrangian correspondences become unobstructed after bulk deformation, under specific conditions involving equivariant structures, advancing the understanding of symplectic reduction in Floer theory.

Contribution

It establishes unobstructedness of moment Lagrangian correspondences after bulk deformation assuming equivariant Kuranishi structures and CF-perturbations.

Findings

Lagrangian correspondences are unobstructed post-deformation

Conditions involve equivariant Kuranishi structures and CF-perturbations

Advances understanding of symplectic reduction in Floer theory

Abstract

We prove that the Lagrangian correspondences induced by the symplectic reduction maps at free zero level sets of the moment maps are unobstructed after bulk deformation, assuming the existence of certain equivariant Kuranishi structures and compatible equivariant CF-perturbations on the moduli spaces of pseudoholomorphic discs.