An algebraic index theorem for orbifolds

Simple item page
dc.creatorPflaum, Markus J.
dc.creatorPosthuma, Hessel
dc.creatorTang, Xiang
dc.date2005-07-26
dc.date2005-09-13
dc.date.accessioned2026-07-07T05:22:01Z
dc.date.available2026-07-07T05:22:01Z
dc.descriptionUsing the concept of a twisted trace density on a cyclic groupoid, a trace is constructed on a formal deformation quantization of a symplectic orbifold. An algebraic index theorem for orbifolds follows as a consequence of a local Riemann--Roch theorem for such densities. In the case of a reduced orbifold, this proves a conjecture by Fedosov, Schulze, and Tarkhanov. Finally, it is shown how the Kawasaki index theorem for elliptic operators on orbifolds follows from this algebraic index theorem.
dc.description34 pages, and presentation improved
dc.identifierhttps://arxiv.org/abs/math/0507546
dc.identifierhttp://arxiv.org/abs/math/0507546
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75906
dc.subjectK-Theory and Homology
dc.subjectMathematical Physics
dc.subjectSymplectic Geometry
dc.titleAn algebraic index theorem for orbifolds
dc.typetext

Files

Collections

arXiv