Results 41 to 50 of about 3,211 (69)
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 ...
Dubois-Violette, Michel
core
Noncommutative Geometry and Conformal Geometry. III. Vafa-Witten Inequality and Poincar\'e Duality
, 2015 This paper is the the third part of a series of paper whose aim is to use of the framework of \emph{twisted spectral triples} to study conformal geometry from a noncommutive geometric viewpoint. In this paper we reformulate the inequality of Vafa-Witten \
Ponge, Raphaël, Wang, Hang
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Examples of derivation-based differential calculi related to noncommutative gauge theories
, 2008 Some derivation-based differential calculi which have been used to construct models of noncommutative gauge theories are presented and commented. Some comparisons between them are made.Comment: 22 pages, conference given at the "International Workshop in
Chari V. +11 more
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On the noncommutative standard model
, 2007 We propose a pedestrian review of the noncommutative standard model in its present state.Comment: dedicated to Alain Connes on the occasion of his 60th ...
Jureit, Jan-H. +3 more
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On a Classification of Irreducible Almost Commutative Geometries, A Second Helping
, 2005 We complete the classification of almost commutative geometries from a particle physics point of view given in hep-th/0312276. Four missing Krajewski diagrams will be presented after a short introduction into irreducible, non-degenerate spectral triples ...
Christoph A. Stephan +3 more
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Notes on "quantum gravity" and non-commutative geometry
, 2010 I hesitated for a long time before giving shape to these notes, originally intended for preliminary reading by the attendees to the Summer School "New paths towards quantum gravity" (Holbaek Bay, Denmark, May 2008).
Gracia-Bondia, Jose M.
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Noncommutative geometry on trees and buildings [PDF]
, 2006 We describe the construction of theta summable and finitely summable spectral triples associated to Mumford curves and some classes of higher dimensional buildings. The finitely summable case is constructed by considering the stabilization of the algebra
Cornelissen, Gunther +3 more
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Quantum-Spacetime Phenomenology. [PDF]
Living Rev Relativ, 2013 Amelino-Camelia G.
europepmc +1 more source
Some of the next articles are maybe not open access.
Introduction to M(atrix) theory and noncommutative geometry
Physics Reports, 2002Albert Schwarz
exaly