Adelaide Research & Scholarship
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https://hdl.handle.net/2440/68730
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| Type: | Conference paper |
| Title: | Noncommutative principal torus bundles via parametrised strict deformation quantization |
| Author: | Hannabuss, K. Varghese, M. |
| Citation: | Proceedings of Symposia in Pure Mathematics, 2010 / Doran, R.S., Friedman, G., Rosenberg, J. (ed./s), vol.81, pp.133-147 |
| Publisher: | American Mathematical Society |
| Publisher Place: | United States |
| Issue Date: | 2010 |
| Series/Report no.: | Proceedings of Symposia in Pure Mathematics |
| ISBN: | 978-0-8218-4887-6 |
| ISSN: | 2324-707X 2324-707X |
| Conference Name: | NSF/CBMS Conference (18 May 2009 - 22 May 2009 : Fort Worth, Texas) |
| Editor: | Doran, R.S. Friedman, G. Rosenberg, J. |
| Statement of Responsibility: | Keith C. Hannabuss and Varghese Mathai |
| Abstract: | In this paper, we initiate the study of a parametrised version of Fieffel's strict deformation quantization. We apply it to give a classification of noncommutative prinicpal torus bundles, in terms of parametrised strict deformation quantization of ordinary principal torus bundles. The paper also contains a putative defination of noncommutative non-principal torus bundles. |
| Keywords: | Parametrised strict deformation quantization noncummutative principal torus bundles T-duality |
| Rights: | Copyright 2010 American Mathematical Society |
| DOI: | 10.1090/pspum/081/2681761 |
| Published version: | http://dx.doi.org/10.1090/pspum/081/2681761 |
| Appears in Collections: | Aurora harvest 5 Mathematical Sciences publications |
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