Displaying similar documents to “A quantum Duistermaat-Heckamn formula?”

On the index theorem for symplectic orbifolds

Boris Fedosov, Bert-Wolfang Schulze, Nikolai Tarkhanov (2004)

Annales de l’institut Fourier

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We give an explicit construction of the trace on the algebra of quantum observables on a symplectiv orbifold and propose an index formula.

Conformally equivariant quantization : existence and uniqueness

Christian Duval, Pierre Lecomte, Valentin Ovsienko (1999)

Annales de l'institut Fourier

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We prove the existence and the uniqueness of a conformally equivariant symbol calculus and quantization on any conformally flat pseudo-riemannian manifold ( M , g ) . In other words, we establish a canonical isomorphism between the spaces of polynomials on T * M and of differential operators on tensor densities over M , both viewed as modules over the Lie algebra o ( p + 1 , q + 1 ) where p + q = dim ( M ) . This quantization exists for generic values of the weights of the tensor densities and we compute the critical values of the...