Please use this identifier to cite or link to this item:
https://hdl.handle.net/2440/93556
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Type: | Journal article |
Title: | Formal geometric quantisation for proper actions |
Author: | Hochs, P. Varghese, M. |
Citation: | The Journal of Homotopy and Related Structures, 2016; 11(3):409-424 |
Publisher: | Springer Berlin Heidelberg |
Issue Date: | 2016 |
ISSN: | 1512-2891 2193-8407 |
Statement of Responsibility: | Peter Hochs, Varghese Mathai |
Abstract: | We define formal geometric quantisation for proper Hamiltonian actions by possibly noncompact groups on possibly noncompact, prequantised symplectic manifolds, generalising work of Weitsman and Paradan. We study the functorial properties of this version of formal geometric quantisation, and relate it to a recent result by the authors via a version of the shifting trick. For (pre)symplectic manifolds of a certain form, quantisation commutes with reduction, in the sense that formal quantisation equals a more direct version of quantisation. |
Keywords: | Geometric quantisation Group C ∗ -algebras K -homology |
Description: | Published online: 23 April 2015 |
Rights: | © Tbilisi Centre for Mathematical Sciences 2015 |
DOI: | 10.1007/s40062-015-0109-8 |
Published version: | http://dx.doi.org/10.1007/s40062-015-0109-8 |
Appears in Collections: | Aurora harvest 7 Mathematical Sciences publications |
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hdl_93556.pdf | Accepted version | 260.62 kB | Adobe PDF | View/Open |
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