Results 41 to 50 of about 33,662 (238)
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 +45 more
core +3 more sources
MIRROR FERMIONS IN NONCOMMUTATIVE GEOMETRY [PDF]
Modern Physics Letters A, 1998 In a recent paper we pointed out the presence of extra fermionic degrees of freedom in a chiral gauge theory based on Connes' noncommutative geometry. Here we propose a mechanism which provides a high mass to these mirror states, so that they decouple from low energy physics.
LIZZI F. +3 more
openaire +5 more sources
Quantization of infinitesimal braidings and pre‐Cartier quasi‐bialgebras
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract In this paper, we extend Cartier's deformation theorem of braided monoidal categories admitting an infinitesimal braiding to the nonsymmetric case. The algebraic counterpart of these categories is the notion of a pre‐Cartier quasi‐bialgebra, which extends the well‐known notion of quasi‐triangular quasi‐bialgebra given by Drinfeld.
Chiara Esposito +3 more
wiley +1 more source
A walk in the noncommutative garden [PDF]
, 2006 This text is written for the volume of the school/conference "Noncommutative Geometry 2005" held at IPM Tehran. It gives a survey of methods and results in noncommutative geometry, based on a discussion of significant examples of noncommutative spaces in
Connes, Alain, Marcolli, Matilde
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Examples of noncommutative manifolds: complex tori and spherical manifolds
, 2007 We survey some aspects of the theory of noncommutative manifolds focusing on the noncommutative analogs of two-dimensional tori and low-dimensional spheres. We are particularly interested in those aspects of the theory that link the differential geometry
Plazas, Jorge
core +2 more sources
Riemannian Geometry of Noncommutative Surfaces [PDF]
, 2008 A Riemannian geometry of noncommutative n-dimensional surfaces is developed as a first step towards the construction of a consistent noncommutative gravitational theory.
A. Tureanu +7 more
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Vacuum energy from noncommutative models
Physics Letters B, 2018 The vacuum energy is computed for a scalar field in a noncommutative background in several models of noncommutative geometry. One may expect that the noncommutativity introduces a natural cutoff on the ultraviolet divergences of field theory.
S. Mignemi, A. Samsarov
doaj +1 more source
A geometric picture of quantum mechanics with noncommutative values for observables
Results in Physics, 2020 We present here what we consider a new picture of quantum mechanics with the position and momentum observables as coordinates of the usual quantum phase space of a single particle, which also serves as the model of the physical space.
Otto C.W. Kong
doaj +1 more source
Plank theorems and their applications: A survey
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract Plank problems concern the covering of convex bodies by planks in Euclidean space and are related to famous open problems in convex geometry. In this survey, we introduce plank problems and present surprising applications of plank theorems in various areas of mathematics.
William Verreault
wiley +1 more source
Derivations of the Moyal Algebra and Noncommutative Gauge Theories
Symmetry, Integrability and Geometry: Methods and Applications, 2009 The differential calculus based on the derivations of an associative algebra underlies most of the noncommutative field theories considered so far. We review the essential properties of this framework and the main features of noncommutative connections ...
Jean-Christophe Wallet
doaj +1 more source