Results 141 to 150 of about 17,484 (160)

Index Theorems and Noncommutative Topology

2008
These lecture notes are mainly devoted to a K-theory proof of the Atiyah-Singer index theorem. Some applications of the K-theory to noncommutative topology are also given.
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NONCOMMUTATIVE GEOMETRY, QUANTIZATION AND TOPOLOGICAL ASPECTS OF A FERMION

International Journal of Modern Physics A, 2000
It is pointed out here that noncommutative geometry having the space–time manifold X=M4×Z2 leads to the quantization of a fermion when the discrete space–time is incorporated as an internal variable. The chiral description of fermions in this geometry necessitates the introduction of a disconnected gauge group for the external Abelian field ...
Ghosh, P., Bandyopadhyay, P.
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Topological Solutions of Noncommutative Stochastic Differential Equations

Stochastic Analysis and Applications, 2007
Abstract A general approach is introduced to studying the properties of solutions of an arbitrary noncommutative stochastic differential equation (NSDE) in several interesting locally convex operator topologies, grouped into two main sets comprising the strong/λ⋆-topologies and the weak topologies.
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Petrov Noncommutative Topological Quantum Field Theory

2014
This paper gives a definition of category NC-Einst of noncommutative Einstein spaces, and a Petrov noncommutative topological quantum field theory (NC TQFT) is constructed. We suggest extensions of these ideas which may be useful to further NC TQFT and apply it in higher dimensions.
Moskaliuk, S.S., Wohlgenannt, M.
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Quantum field theory on noncommutative spaces

Physics Reports, 2003
Richard J Szabo
exaly  

Noncommutative topology and Jordan operator algebras

Mathematische Nachrichten, 2019
David P Blecher
exaly  

Noncommutative Manifolds, the Instanton Algebra¶and Isospectral Deformations

Communications in Mathematical Physics, 2001
Giovanni Landi
exaly  

Introduction to M(atrix) theory and noncommutative geometry

Physics Reports, 2002
Albert Schwarz
exaly  

Quantum theories on noncommutative spaces with nontrivial topology: Aharonov–Bohm and Casimir effects

Nuclear Physics B, 2001
Mohammad M Sheikh-Jabbari, Ricardo Gonzalez Felipe   +1 more
exaly  

NONCOMMUTATIVE TOPOLOGICAL AND EINSTEIN GRAVITY FROM NONCOMMUTATIVE SL(2, ℂ) BF THEORY

Topics in Mathematical Physics, General Relativity and Cosmology in Honor of Jerzy Plebanski, 2006
H. GARCÍA-COMPEÁN, O. OBREGÓN, C. RAMÍREZ, M. SABIDO   +3 more
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