Lagrangian Floer theory on symplectic orbifolds

Abstract: W. Chen and Y. Ruan developed Gromov-Witten theory on symplectic orbifolds, where an imporatn notion, the inertia orbifold (twisted sector) plays an important role. When a Lagrangian is contained in the regular part, Lagrangian Floer theory was studied by C.-H. Cho and M. Poddar. In joint works with B. Chen and B.-L. Wang, we introduce the notion of dihedral twisted sector associated with a Lagrangian in a symplectic orbifold. After reviewing some preliminaries on orbifolds such as orbifold morphisms, I will present the notion of dihedral twisted sector associated with a Lagrangian in a symplectic orbifold and explain how to construct Lagrangian Floer theory in symplectic orbifolds. This talk is based on a joint work with B. Chen and B.-L. Wang.

mathematical physicsalgebraic topologydifferential geometryrepresentation theorystatistics theory

Audience: researchers in the topic

( video )

Prague-Hradec Kralove seminar Cohomology in algebra, geometry, physics and statistics

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