On the deformation quantization of symplectic orbispaces

Details On the deformation quantization of symplectic orbispaces On the deformation quantization of symplectic orbispaces

2002-08-14

arxiv.org/abs/math-ph/0208020v1

Physics

Mathematical Physics

Scientific paper

In the first part of this article we provide a geometrically oriented approach to the theory of orbispaces which originally had been introduced by Chen. We explain the notion of a vector orbibundle and characterize the good sections of a reduced vector orbibundle as the smooth stratified sections. In the second part of the article we elaborate on the quantizability of a symplectic orbispace. By adapting Fedosov's method to the orbispace setting we show that every symplectic orbispace has a deformation quantization. As a byproduct we obtain that every symplectic orbifold possesses a star product.

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