Gluing Non-commutative Twistor Spaces

IF 0.6 4区 数学 Q3 MATHEMATICS
Matilde Marcolli;Roger Penrose
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引用次数: 1

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.
粘合非交换Twistor空间
我们描述了一个基于Gerstenhaber–Schack复形的一般过程,通过奇异空间的变形理论将扭曲空间的Donaldson–Friedman粘合扩展到量子化的扭曲空间。我们特别考虑了扭曲空间的各种可能的量子化,这些量子化使底层时空流形成为经典,包括第二作者最初构建的扭曲空间的几何量子化,以及基于非交换几何的一些变体。我们讨论了这些不同量化过程的胶合结构的具体方面。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
CiteScore
1.30
自引率
0.00%
发文量
36
审稿时长
6-12 weeks
期刊介绍: The Quarterly Journal of Mathematics publishes original contributions to pure mathematics. All major areas of pure mathematics are represented on the editorial board.
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