On the deformation quantization of symplectic orbispaces

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dc.creatorPflaum, Markus J.
dc.date2002-08-14
dc.date.accessioned2026-07-07T04:29:22Z
dc.date.available2026-07-07T04:29:22Z
dc.descriptionIn 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.
dc.identifierhttps://arxiv.org/abs/math-ph/0208020
dc.identifierhttp://arxiv.org/abs/math-ph/0208020
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57128
dc.subjectMathematical Physics
dc.subjectDifferential Geometry
dc.titleOn the deformation quantization of symplectic orbispaces
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