Room P3.10, Mathematics Building

Marta Batoreo, UC Santa Cruz

On the Rigidity of the Maslov Index for Coisotropic Submanifolds

A rigidity result on the coisotropic Maslov index states that there exists a non-trivial loop (tangent to the characteristic foliation of a stable coisotropic submanifold) with certain bounds on its symplectic area and its Maslov index. This was proved by Ginzburg for symplectically aspherical ambient manifolds. The result also holds for some symplectic manifolds not necessarily aspherical. We shall state the theorem for the “rational case” and sketch its proof.

joint with String Theory Seminar