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This article is cited in 4 scientific papers (total in 4 papers)
Spin Geometry of Dirac and Noncommutative Geometry of Connes
A. G. Sergeev Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia
Abstract:
The review is devoted to the interpretation of the Dirac spin geometry in terms of noncommutative geometry. In particular, we give an idea of the proof of the theorem stating that the classical Dirac geometry is a noncommutative spin geometry in the sense of Connes, as well as an idea of the proof of the converse theorem stating that any noncommutative spin geometry over the algebra of smooth functions on a smooth manifold is the Dirac spin geometry.
Received: December 11, 2016
Citation:
A. G. Sergeev, “Spin Geometry of Dirac and Noncommutative Geometry of Connes”, Complex analysis and its applications, Collected papers. On the occasion of the centenary of the birth of Boris Vladimirovich Shabat, 85th anniversary of the birth of Anatoliy Georgievich Vitushkin, and 85th anniversary of the birth of Andrei Aleksandrovich Gonchar, Trudy Mat. Inst. Steklova, 298, MAIK Nauka/Interperiodica, Moscow, 2017, 276–314; Proc. Steklov Inst. Math., 298 (2017), 256–293
Linking options:
https://www.mathnet.ru/eng/tm3806https://doi.org/10.1134/S0371968517030177 https://www.mathnet.ru/eng/tm/v298/p276
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Abstract page: | 562 | Full-text PDF : | 211 | References: | 54 | First page: | 31 |
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