An algebraic index theorem for orbifolds
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 orbi...
| Главные авторы: | , , |
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| Формат: | Journal article |
| Язык: | English |
| Опубликовано: |
Elsevier
2007
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| Предметы: |
| _version_ | 1826295011069657088 |
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| author | Pflaum, M Posthuma, H Tang, X |
| author_facet | Pflaum, M Posthuma, H Tang, X |
| author_sort | Pflaum, M |
| collection | OXFORD |
| description | 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. |
| first_indexed | 2024-03-07T03:54:32Z |
| format | Journal article |
| id | oxford-uuid:c26af0d5-60a9-4dde-9eec-a5b62e41dc91 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T03:54:32Z |
| publishDate | 2007 |
| publisher | Elsevier |
| record_format | dspace |
| spelling | oxford-uuid:c26af0d5-60a9-4dde-9eec-a5b62e41dc912022-03-27T06:08:49ZAn algebraic index theorem for orbifoldsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:c26af0d5-60a9-4dde-9eec-a5b62e41dc91MathematicsEnglishOxford University Research Archive - ValetElsevier2007Pflaum, MPosthuma, HTang, XUsing 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. |
| spellingShingle | Mathematics Pflaum, M Posthuma, H Tang, X An algebraic index theorem for orbifolds |
| title | An algebraic index theorem for orbifolds |
| title_full | An algebraic index theorem for orbifolds |
| title_fullStr | An algebraic index theorem for orbifolds |
| title_full_unstemmed | An algebraic index theorem for orbifolds |
| title_short | An algebraic index theorem for orbifolds |
| title_sort | algebraic index theorem for orbifolds |
| topic | Mathematics |
| work_keys_str_mv | AT pflaumm analgebraicindextheoremfororbifolds AT posthumah analgebraicindextheoremfororbifolds AT tangx analgebraicindextheoremfororbifolds AT pflaumm algebraicindextheoremfororbifolds AT posthumah algebraicindextheoremfororbifolds AT tangx algebraicindextheoremfororbifolds |