Results 11  20
of
20,755
NONCOMMUTATIVE GEOMETRY OF FOLIATIONS
, 2006
"... We review basic notions and methods of noncommutative geometry and their applications to analysis and geometry on foliated ..."
Abstract

Cited by 2 (1 self)
 Add to MetaCart
We review basic notions and methods of noncommutative geometry and their applications to analysis and geometry on foliated
NONCOMMUTATIVE GEOMETRY AND QUANTIZATION
, 1999
"... We examine some recent developments in noncommutative geometry, including spin geometries on noncommutative tori and their quantization by the Shale–Stinespring procedure, as well as the emergence of Hopf algebras as a tool linking index theory and renormalization calculations. ..."
Abstract
 Add to MetaCart
We examine some recent developments in noncommutative geometry, including spin geometries on noncommutative tori and their quantization by the Shale–Stinespring procedure, as well as the emergence of Hopf algebras as a tool linking index theory and renormalization calculations.
Noncommutative Localization in noncommutative geometry
, 2008
"... The aim of these notes is to collect and motivate the basic localization toolbox for the geometric study of “spaces”, locally described by noncommutative rings and their categories of onesided modules. We present the basics of Ore localization of rings and modules in much detail. Common practical t ..."
Abstract

Cited by 6 (0 self)
 Add to MetaCart
for gluing in noncommutative geometry whenever the flat descent fails. Cohn localization is here related to the quasideterminants of Gelfand and Retakh; and this may help understanding both subjects.
ON PATH INTEGRATION ON NONCOMMUTATIVE GEOMETRIES ∗
, 1996
"... Abstract. We discuss a recent approach to quantum field theoretical path integration on noncommutative geometries which imply UV/IR regularising finite minimal uncertainties in positions and/or momenta. One class of such noncommutative geometries arise as ‘momentum spaces ’ over curved spaces, for w ..."
Abstract
 Add to MetaCart
Abstract. We discuss a recent approach to quantum field theoretical path integration on noncommutative geometries which imply UV/IR regularising finite minimal uncertainties in positions and/or momenta. One class of such noncommutative geometries arise as ‘momentum spaces ’ over curved spaces
Locality, Causality and Noncommutative Geometry
, 2008
"... We analyse the causality condition in noncommutative field theory and show that the nonlocality of noncommutative interaction leads to a modification of the light cone to the light wedge. This effect is generic for noncommutative geometry. We also check that the usual form of energy condition is vio ..."
Abstract

Cited by 9 (2 self)
 Add to MetaCart
We analyse the causality condition in noncommutative field theory and show that the nonlocality of noncommutative interaction leads to a modification of the light cone to the light wedge. This effect is generic for noncommutative geometry. We also check that the usual form of energy condition
The Structure of Spacetime and Noncommutative Geometry
, 2008
"... We give a general and nontechnical review of some aspects of noncommutative geometry as a tool to understand the structure of spacetime. We discuss the motivations for the constructions of a noncommutative geometry, and the passage from commutative to noncommutative spaces. We then give a brief desc ..."
Abstract

Cited by 1 (0 self)
 Add to MetaCart
We give a general and nontechnical review of some aspects of noncommutative geometry as a tool to understand the structure of spacetime. We discuss the motivations for the constructions of a noncommutative geometry, and the passage from commutative to noncommutative spaces. We then give a brief
Noncommutative geometry and integrable models
, 1997
"... A construction of conservation laws for σmodels in two dimensions is generalized in the framework of noncommutative geometry of commutative algebras. This is done by replacing the ordinary calculus of differential forms with other differential calculi and introducing an analogue of the Hodge operat ..."
Abstract

Cited by 5 (2 self)
 Add to MetaCart
A construction of conservation laws for σmodels in two dimensions is generalized in the framework of noncommutative geometry of commutative algebras. This is done by replacing the ordinary calculus of differential forms with other differential calculi and introducing an analogue of the Hodge
Algebraic Noncommutative Geometry
, 2008
"... A noncommutative algebra A, called an algebraic noncommutative geometry, is defined, with a parameter ε in the centre. When ε is set to zero, the commutative algebra A 0 of algebraic functions on an algebraic manifold M is obtained. This A 0 is a subalgebra of C ω (M), which is dense if M is compact ..."
Abstract
 Add to MetaCart
A noncommutative algebra A, called an algebraic noncommutative geometry, is defined, with a parameter ε in the centre. When ε is set to zero, the commutative algebra A 0 of algebraic functions on an algebraic manifold M is obtained. This A 0 is a subalgebra of C ω (M), which is dense if M
Results 11  20
of
20,755