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Date : 1994-12-06
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Noncommutative geometry Wikipedia ~ Examples of noncommutative spaces In the phase space formulation of quantum mechanics the symplectic phase The standard model of particle physics is another example of a noncommutative geometry The noncommutative torus deformation of the function algebra of the ordinary torus
Noncommutative algebraic geometry Wikipedia ~ Noncommutative algebraic geometry is a branch of mathematics and more specifically a direction in noncommutative geometry that studies the geometric properties of formal duals of noncommutative algebraic objects such as rings as well as geometric objects derived from them by gluing along localizations or taking noncommutative stack quotients
Noncommutative Geometry Alain Connes ~ The theory called noncommutative geometry rests on two essential points 1 The existence of many natural spaces for which the classical settheoretic tools of analysis such as measure theory topology calculus and metric ideas lose their pertinence but which correspond very naturally to a noncommutative algebra
Noncommutative Geometry 1st Edition Elsevier ~ The Metric Aspect of Noncommutative Geometry Riemannian Manifolds and the Dirac Operator Positivity in Hochschild Cohomology and the Inequalities for the YangMills Action Product of the Continuum by the Discrete and the Symmetry Breaking Mechanism The Notion of Manifold in Noncommutative Geometry
Noncommutative Geometry Alain Connes Google Books ~ Noncommutative Geometry First full treatment of the subject and its applications Written by the pioneer of this field Broad applications in mathematics Of interest across most fields Ideal as an introduction and survey Examples treated include the space of Penrose tilings the space
191010407 Noncommutative Geometry the spectral standpoint ~ We report on the following highlights from among the many discoveries made in Noncommutative Geometry since year 2000 1 The interplay of the geometry with the modular theory for noncommutative tori 2 Advances on the BaumConnes conjecture on coarse geometry and on higher index theory 3 The geometrization of the pseudodifferential calculi using smooth groupoids 4 The development of
Noncommutative Geometry ~ The Noncommutative Geometry approach to RH has unveiled the exotic nature of the adele class space of the rationals based on the theory of Grothendieck toposes on one hand and tropical geometry on the other
Very Basic Noncommutative Geometry Vanderbilt University ~ Connes’ theory which is generally known as noncommutative geometry is a rapidly growing new area of mathematics that interacts with and con tributes to many disciplines in mathematics and physics
noncommutative geometry in nLab ~ More generally noncommutative geometry means replacing the space by some structure carried by an entity or a collection of entities living on that wouldbe space The entity may be for example a function vector bundle coherent sheaf a complex of sheaves and KKtheory class
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