Geometry & Topology Seminar

Tatyana Barron, Western University

"Multisymplectic manifolds and quantization"

Let n be a positive integer. An n-plectic form on a smooth manifold is a closed nondegenerate (n+1)-form. An n-plectic manifold is a manifold with an n-plectic form. Standard examples of n-plectic manifolds include symplectic manifolds (n=1) and hyperkähler manifolds (n=3). A volume form on an orientable (n+1)-dimensional manifold is an n-plectic form. I will talk about quantization in the context of of multisymplectic (n-plectic) geometry (specifically, about an extension of some of the ideas of Toeplitz quantization on Kähler manifolds to some multisymplectic manifolds).

MC 5403