Results 11 to 20 of about 16,979 (167)
Field Theory on Curved Noncommutative Spacetimes [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2010 We study classical scalar field theories on noncommutative curved spacetimes. Following the approach of Wess et al. [Classical Quantum Gravity 22 (2005), 3511 and Classical Quantum Gravity 23 (2006), 1883], we describe noncommutative spacetimes by using (
Alexander Schenkel +1 more
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Differential operators and BV structures in noncommutative geometry [PDF]
Selecta Mathematica, 2010 Section on the representation functor added, second classical definition of diff. ops discussed, minor corrections made.
Ginzburg, Victor, Schedler, Travis
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Connes' noncommutative differential geometry and the standard model
Journal of Geometry and Physics, 1993 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Várilly Boyle, Joseph C. +1 more
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Einstein-Riemann Gravity on Deformed Spaces [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2006 A differential calculus, differential geometry and the E-R Gravity theory are studied on noncommutative spaces. Noncommutativity is formulated in the star product formalism. The basis for the gravity theory is the infinitesimal algebra of diffeomorphisms.
Julius Wess
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Some aspects of noncommutative differential geometry [PDF]
, 1995 We discuss in some generality aspects of noncommutative differential geometry associated with reality conditions and with differential calculi. We then describe the differential calculus based on derivations as generalization of vector fields, and we show its relations with quantum mechanics. Finally we formulate a general theory of connections in this
Dubois-Violette, Michel
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Differential and Complex Geometry of Two-Dimensional Noncommutative Tori
Letters in Mathematical Physics, 2002 In [\textit{A. Schwarz}, Lett. Math. Phys. 58, 81-90 (2001; Zbl 1032.53082)], complex geometry of noncommutative tori and of projective modules over them in connection with noncommutative generalization of theta-functions are studied. In this paper, general results are illustrated using examples of two-dimensional tori.
Dieng, Momar, Schwarz, Albert
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Noncommutative Differential Geometry of Generalized Weyl Algebras [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2016 Elements of noncommutative differential geometry of ${\mathbb Z}$-graded generalized Weyl algebras ${\mathcal A}(p;q)$ over the ring of polynomials in two variables and their zero-degree subalgebras ${\mathcal B}(p;q)$, which themselves are generalized Weyl algebras over the ring of polynomials in one variable, are discussed.
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Comparison between two differential graded algebras in noncommutative geometry [PDF]
Proceedings - Mathematical Sciences, 2019 Starting with a spectral triple one can associate two canonical differential graded algebras (dga) defined by Connes and Fr hlich et al. For the classical spectral triples associated with compact Riemannian spin manifolds both these dgas coincide with the de-Rham dga.
Chakraborty, Partha Sarathi +1 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 +2 more
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Noncommutative differential geometry with higher-order derivatives [PDF]
Letters in Mathematical Physics, 1994 We build a toy model of differential geometry on the real line, which includes derivatives of the second order. Such construction is possible only within the framework of noncommutative geometry. We introduce the metric and briefly discuss two simple physical models of scalar field theory and gauge theory in this geometry.
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