Symplectic

Event Information Geometric quantization of non-compact Hamiltonian torus manifolds from the viewpoint of localization of index
14:00 on Monday February 10, 2020
15:00 on Monday February 10, 2020
BA6183, Bahen Center, 40 St. George St.
Hajime Fujita

University of Toronto / McMaster University / Japan Women's University

In this talk I will give a definition of geometric quantization of non-compact Hamiltonian torus manifolds as an equivariant index. Our construction is based on a deformation of Dirac operator along the orbits, which gives rise a localization of index to the lattice points in the moment polytope. The localization property leads us to give natural proofs of a [Q,R]=0 and a Danilov-type formula in the non-compact setting. This talk is based on a preprint arXiv:2001.02280.