Marcolli, Matilde and Penrose, Roger (2021) Gluing Non-commutative Twistor Spaces. Quarterly Journal of Mathematics, 72 (1-2). pp. 417-454. ISSN 0033-5606. doi:10.1093/qmath/haab024. https://resolver.caltech.edu/CaltechAUTHORS:20210818-171944955
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Abstract
We describe a general procedure, based on Gerstenhaber–Schack complexes, for extending to quantized twistor spaces the Donaldson–Friedman gluing of twistor spaces via deformation theory of singular spaces. We consider in particular various possible quantizations of twistor spaces that leave the underlying spacetime manifold classical, including the geometric quantization of twistor spaces originally constructed by the second author, as well as some variants based on non-commutative geometry. We discuss specific aspects of the gluing construction for these different quantization procedures.
| Item Type: | Article | ||||||||||
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| Alternate Title: | Gluing Noncommutative Twistor Spaces | ||||||||||
| Additional Information: | © The Author(s) 2021. Published by Oxford University Press. This article is published and distributed under the terms of the Oxford University Press, Standard Journals Publication Model (https://academic.oup.com/journals/pages/open_access/funder_policies/chorus/standard_publication_model). Received: 04 December 2020; Revision received: 31 March 2021; Accepted: 07 April 2021; Published: 26 April 2021. Matilde Marcolli is partially supported by NSF grant DMS-1 707 882 and DMS-2104330 and by NSERC Discovery Grant RGPIN-2018-04 937 and Accelerator Supplement grant RGPAS-2018-522 593. | ||||||||||
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| Issue or Number: | 1-2 | ||||||||||
| DOI: | 10.1093/qmath/haab024 | ||||||||||
| Record Number: | CaltechAUTHORS:20210818-171944955 | ||||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20210818-171944955 | ||||||||||
| Official Citation: | Matilde Marcolli, Roger Penrose, Gluing Non-commutative Twistor Spaces, The Quarterly Journal of Mathematics, Volume 72, Issue 1-2, June 2021, Pages 417–454, https://doi.org/10.1093/qmath/haab024 | ||||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||
| ID Code: | 110306 | ||||||||||
| Collection: | CaltechAUTHORS | ||||||||||
| Deposited By: | Tony Diaz | ||||||||||
| Deposited On: | 18 Aug 2021 18:24 | ||||||||||
| Last Modified: | 18 Aug 2021 18:24 |
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