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Gluing Noncommutative Twistor Spaces

Marcolli, Matilde and Penrose, Roger (2020) Gluing Noncommutative Twistor Spaces. . (Unpublished)

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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 noncommutative geometry. We discuss specific aspects of the gluing construction for these different quantization procedures.

Item Type:Report or Paper (Discussion Paper)
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Additional Information:In memory of Sir Michael Atiyah. The first author is partially supported by NSF grant DMS-1707882, and by NSERC Discovery Grant RGPIN-2018-04937 and Accelerator Supplement grant RGPAS-2018-522593.
Funding AgencyGrant Number
Natural Sciences and Engineering Research Council of Canada (NSERC)RGPIN-2018-04937
Natural Sciences and Engineering Research Council of Canada (NSERC)RGPAS-2018-522593
Record Number:CaltechAUTHORS:20210825-184607934
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:110548
Deposited By: George Porter
Deposited On:25 Aug 2021 22:12
Last Modified:02 Jun 2023 01:13

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