Professorin Simone Gutt (Universität Brüssel): *$Mp^c$-*structures, quantization and symplectic Di
Thursday, 19.04.2012 16:30 im Raum M5
Symplectic spinors were introduced by Kostant for geometric quantization. To
define his spinors, he needed a metaplectic structure, a notion which is topologically
the same as admitting a spin structure. This rules out important examples of symplectic
manifold such as CP2. Dirac operators were defined in that context by Habermann.
Rawnsley and Robinson showed how to use instead $Mp^c$-structures (the symplectic
analogue of $Spin^c$) for which there is no obstruction.
We shall recall what are those groups, how to construct and parametrize $Mp^c$-structures
and define the corresponding Dirac operators.