Structures in the Floer theory of Symplectic Groupoids

Abstract: A symplectic groupoid is a Lie groupoid with a multiplicative symplectic form. We take the perspective that such an object is a symplectic manifold with an extra categorical structure. Applying the machinery of Floer theory, the extra structure is expected to yield a monoidal structure on the Fukaya category. I will take an examples-based approach to work out what these structures are, focusing on cases such as the cotangent bundle of a compact manifold.

MathematicsPhysics

Audience: researchers in the discipline

Seminario de Geometría y Física - Matemática UCN-USP