XXII WORKSHOP ON GEOMETRIC METHODS IN PHYSICS

29 JUNE - 5 JULY 2003, BIAŁOWIEŻA, POLAND


Boris Fedosov - An index theorem for symplectic orbifolds


Deformation quantization for symplectic orbifolds was constructed by M.Pflaum. We investigate the traces on the algebra of observables and for each choice of the trace give an index formula. The examples show that these formulas are closely related to some spectral problems in the setting of deformation quantization.