scholarly journals Modular curvature for toric noncommutative manifolds

2018 ◽  
Vol 12 (2) ◽  
pp. 511-575 ◽  
Author(s):  
Yang Liu
Keyword(s):  
Noncommutative Manifolds ◽  
Modular Curvature

scholarly journals Extending general covariance: Moyal-type noncommutative manifolds

2018 ◽  
Vol 98 (2) ◽  
Author(s):  
Martin Bojowald ◽  
Suddhasattwa Brahma ◽  
Umut Buyukcam ◽  
Michele Ronco
Keyword(s):  
General Covariance ◽  
Noncommutative Manifolds

scholarly journals Modular Curvature and Morita Equivalence

2016 ◽  
Vol 26 (3) ◽  
pp. 818-873 ◽  
Author(s):  
Matthias Lesch ◽  
Henri Moscovici
Keyword(s):  
Morita Equivalence ◽  
Modular Curvature

scholarly journals Modular curvature for noncommutative two-tori

2014 ◽  
Vol 27 (3) ◽  
pp. 639-684 ◽  
Author(s):  
Alain Connes ◽  
Henri Moscovici
Keyword(s):  
Modular Curvature

scholarly journals Moduli spaces of instantons on toric noncommutative manifolds

2013 ◽  
Vol 17 (5) ◽  
pp. 1129-1193 ◽  
Author(s):  
Simon Brain ◽  
Giovanni Landi ◽  
Walter D. van Suijlekom
Keyword(s):  
Moduli Spaces ◽  
Noncommutative Manifolds

scholarly journals Morse theory for C*-algebras: a geometric interpretation of some noncommutative manifolds

2013 ◽  
Vol 12 (2) ◽  
Author(s):  
Vida Milani ◽  
Ali Asghar Rezaei ◽  
Seyed M. H. Mansourbeigi
Keyword(s):  
Morse Theory ◽  
Geometric Interpretation ◽  
C Algebras ◽  
Noncommutative Manifolds

Fields on Noncommutative Manifolds

2000 ◽  
pp. 396-396
Author(s):  
M. Pavšič ◽  
M. Chaichian ◽  
A. Demichev ◽  
H. Grosse ◽  
P. Prešnajder
Keyword(s):  
Noncommutative Manifolds

scholarly journals TOPOLOGY CHANGE FOR FUZZY PHYSICS: FUZZY SPACES AS HOPF ALGEBRAS

2004 ◽  
Vol 19 (20) ◽  
pp. 3395-3407 ◽  
Author(s):  
A. P. BALACHANDRAN ◽  
S. KÜRKÇÜOǦLU
Keyword(s):  
Hopf Algebras ◽  
Quantum Field Theories ◽  
Fuzzy Sphere ◽  
Topology Change ◽  
Angular Momenta ◽  
Fuzzy Space ◽  
Noncommutative Manifolds ◽  
Quantum Symmetries ◽  
Adjoint Orbits ◽  
Fuzzy Physics

Fuzzy spaces are obtained by quantizing adjoint orbits of compact semi-simple Lie groups. Fuzzy spheres emerge from quantizing S2and are associated with the group SU (2) in this manner. They are useful for regularizing quantum field theories and modeling space–times by noncommutative manifolds. We show that fuzzy spaces are Hopf algebras and in fact have more structure than the latter. They are thus candidates for quantum symmetries. Using their generalized Hopf algebraic structures, we can also model processes where one fuzzy space splits into several fuzzy spaces. For example we can discuss the quantum transition where the fuzzy sphere for angular momentum J splits into fuzzy spheres for angular momenta K and L.

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