Journal article
An algebraic index theorem for orbifolds
- Abstract:
- Using 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.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Preview, Version of record, pdf, 362.6KB, Terms of use)
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- Publisher copy:
- 10.1016/j.aim.2006.05.018
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Bibliographic Details
- Publisher:
- Elsevier
- Journal:
- Advances in Mathematics More from this journal
- Volume:
- 210
- Issue:
- 1
- Pages:
- 83–121
- Publication date:
- 2007-03-01
- DOI:
- ISSN:
-
0001-8708
Item Description
- Language:
-
English
- Keywords:
- Subjects:
- UUID:
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uuid:c26af0d5-60a9-4dde-9eec-a5b62e41dc91
- Local pid:
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ora:8078
- Deposit date:
-
2014-02-25
Terms of use
- Copyright holder:
- Elsevier Inc
- Copyright date:
- 2006
- Notes:
- Copyright 2006 Elsevier B.V. All rights reserved. Re-use of this article is permitted in accordance with the Terms and Conditions set out at http://www.elsevier.com/open-access/userlicense/1.0/ (accessed 19/02/2014).
- Licence:
- Other
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