Results 1 to 10 of about 19,954 (141)

Noncommutative geometry of algebraic curves [PDF]

, 2009
A covariant functor from the category of generic complex algebraic curves to a category of the AF-algebras is constructed. The construction is based on a representation of the Teichmueller space of a curve by the measured foliations due to Douady ...
Igor Nikolaev
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LECTURE NOTES ON NONCOMMUTATIVE ALGEBRAIC GEOMETRY AND NONCOMMUTATIVE TORI [PDF]

, 2008
The first part of these notes gives an introduction to noncommutative projective geometry after Artin--Zhang. The second part provides an overview of the work of Polishchuk that reconciles noncommutative two-tori having real multiplication with the Artin-
Snigdhayan Mahanta
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Higher-rank tensor non-Abelian field theory: Higher-moment or subdimensional polynomial global symmetry, algebraic variety, Noether's theorem, and gauging

Physical Review Research, 2021
With a view toward a fracton theory in condensed matter, we introduce a higher-moment polynomial degree-p global symmetry, acting on complex scalar/vector/tensor fields (e.g., ordinary or vector global symmetry for p=0 and p=1 respectively).
Juven Wang, Kai Xu, Shing-Tung Yau
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A Survey on Some Algebraic Characterizations of Hilbert’s Nullstellensatz for Non-commutative Rings of Polynomial Type

Ingeniería y Ciencia, 2020
In this paper we present a survey of some algebraic characterizations of Hilbert’s Nullstellensatz for non-commutative rings of polynomial type. Using several results established in the literature, we obtain a version of this theorem for the skew ...
Armando Reyes, Jason Hernández-Mogollón   +1 more
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Nonstandard Analysis, Deformation Quantization and Some Logical Aspects of (Non)Commutative Algebraic Geometry

Mathematics, 2020
This paper surveys results related to well-known works of B. Plotkin and V. Remeslennikov on the edge of algebra, logic and geometry. We start from a brief review of the paper and motivations. The first sections deal with model theory.
Alexei Kanel-Belov, Alexei Chilikov, Ilya Ivanov-Pogodaev, Sergey Malev, Eugeny Plotkin, Jie-Tai Yu, Wenchao Zhang   +6 more
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Algebraic deformations of toric varieties I. General constructions [PDF]

, 2013
We construct and study noncommutative deformations of toric varieties by combining techniques from toric geometry, isospectral deformations, and noncommutative geometry in braided monoidal categories.
Cirio, Lucio, Landi, Giovanni, Szabo, Richard J.   +2 more
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The Dual Gromov-Hausdorff Propinquity [PDF]

, 2014
Motivated by the quest for an analogue of the Gromov-Hausdorff distance in noncommutative geometry which is well-behaved with respect to C*-algebraic structures, we propose a complete metric on the class of Leibniz quantum compact metric spaces, named ...
Alfsen, Bellissard, Blackadar, Burago, Connes, Connes, Connes, Dobrushin, Fell, Gromov, Gromov, Kadison, Kadison, Kantorovich, Kantorovich, Kerr, Kerr, Landsman, Latrémolière, Latrémolière, Latrémolière, Latrémolière, Li, Li, Li, Li, McShane, Morariu, Ozawa, Pedersen, Rieffel, Rieffel, Rieffel, Rieffel, Rieffel, Rieffel, Rieffel, Rieffel, Rieffel, Rieffel, Rieffel, Seiberg, T'Hooft, Wasserstein, Wu, Wu   +45 more
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Some special types of determinants in graded skew P BW extensions.

Revista Integración, 2021
In this paper, we prove that the Nakayama automorphism of a graded skew PBW extension over a finitely presented Koszul Auslanderregular algebra has trivial homological determinant.
Héctor Suárez, Duban Cáceres, Armando Reyes   +2 more
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Noncommutative Geometry and Spacetime Gauge Symmetries of String Theory [PDF]

, 1997
We illustrate the various ways in which the algebraic framework of noncommutative geometry naturally captures the short-distance spacetime properties of string theory.
Banks, Banks, Borcherds, Borcherds, Chamseddine, Chamseddine, Chamseddine, Chamseddine, Connes, Connes, Connes, Connes, Evans, Fedele Lizzi, Frenkel, Fröhlich, Gebert, Giannakis, Green, Harvey, Ho, Lizzi, Lizzi, Lizzi, Martín, Narain, Narain, Rajeev, Rajeev, Richard J. Szabo, Rieffel, Witten   +31 more
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Some homological properties of skew PBW extensions arising in non-commutative algebraic geometry

Discussiones Mathematicae - General Algebra and Applications, 2017
In this short paper we study for the skew PBW (Poincar-Birkhoff-Witt) extensions some homological properties arising in non-commutative algebraic geometry, namely, Auslander-Gorenstein regularity, Cohen-Macaulayness and strongly noetherianity.
Lezama Oswaldo
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