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Non-commutative geometry and irreversibility [PDF]
The European Physical Journal B, 1998 15 pages, 2 figures, Revtex ...
Erzan, A, Gorbon, A
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Gravitomagnetism and Non-commutative Geometry [PDF]
International Journal of Theoretical Physics, 2013 14 ...
Malekolkalami, Behrooz +1 more
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Geometric non-commutative geometry [PDF]
Expositiones Mathematicae, 2021 In a recent paper, the authors proved that no spin foliation on a compact enlargeable manifold with Hausdorff homotopy graph admits a metric of positive scalar curvature on its leaves. This result extends groundbreaking results of Lichnerowicz, Gromov and Lawson, and Connes on the non-existence of metrics of positive scalar curvature.
Benameur, Moulay Tahar +1 more
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Gravity in non-commutative geometry [PDF]
Communications in Mathematical Physics, 1993 ZU-TH-30/1992 and ETH/TH/92/44, 11 pages. (The earlier version of this paper was the incomplete and unedited file which accidently replaced the corrected file)
Chamseddine, A. H. +2 more
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Non-Commutative Geometry Indomitable
Notices of the American Mathematical Society, 2021 Non-commutative geometry remains indomitable: its applications go from the standard model of particle physics to topological data analysis to number theory to non-commutative motives.
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Quantum Logic and Non-Commutative Geometry [PDF]
International Journal of Theoretical Physics, 2006 16 pages, to be published in the International Journal of Theoretical Physics, without ...
MARCHETTI, PIERALBERTO, RUBELE R.
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Manifest supersymmetry in non-commutative geometry [PDF]
Journal of High Energy Physics, 2000 We consider the open superstring ending on a D-brane in the presence of a constant NS-NS B field, using the Green-Schwarz formalism. Quantizing in the light-cone gauge, we find that the anti-commutation relations for the fermionic variables of superspace remain unmodified. We also derive the unbroken supersymmetry algebra living on the D-brane.
Chu, Chong-Sun, Zamora, Frederic
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Grand unification in non-commutative geometry [PDF]
Nuclear Physics B, 1993 25 pages, ZU-TH-30/1992 and ETH/TH/92 ...
Chamseddine, A. H. +2 more
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Differential algebras in non-commutative geometry [PDF]
Journal of Geometry and Physics, 1995 We discuss the differential algebras used in Connes' approach to Yang-Mills theories with spontaneous symmetry breaking. These differential algebras generated by algebras of the form functions $\otimes$ matrix are shown to be skew tensorproducts of differential forms with a specific matrix algebra.
Kalau, W. +3 more
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Categorical Non-commutative Geometry
Journal of Physics: Conference Series, 2012 The purpose of this short note was to outline the current status, then in 2011, of some research programs aiming at a categorification of parts of A.Connes' non-commutative geometry and to provide an outlook on some possible subsequent developments in categorical non-commutative geometry.
Bertozzini, Paolo +2 more
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