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14,967
TOPOLOGICAL STRINGS ON NONCOMMUTATIVE MANIFOLDS
, 2003
"... We identify a deformation of the N = 2 supersymmetric sigma model on a CalabiYau manifold X which has the same effect on Bbranes as a noncommutative deformation of X. We show that for hyperkähler X such deformations allow one to interpolate continuously between the Amodel and the Bmodel. For ge ..."
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Cited by 97 (8 self)
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We identify a deformation of the N = 2 supersymmetric sigma model on a CalabiYau manifold X which has the same effect on Bbranes as a noncommutative deformation of X. We show that for hyperkähler X such deformations allow one to interpolate continuously between the Amodel and the B
THE SINGULARITIES OF NONCOMMUTATIVE MANIFOLDS
"... Abstract. We present a faster method to determine all singularities of quiver moduli spaces up to smooth equivalence. We show that every quiver controls a large family of noncommutative compact manifolds. 1. The problem Let Q be a quiver on a finite set of vertices Qv = {1, 2,..., k} having a finite ..."
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Abstract. We present a faster method to determine all singularities of quiver moduli spaces up to smooth equivalence. We show that every quiver controls a large family of noncommutative compact manifolds. 1. The problem Let Q be a quiver on a finite set of vertices Qv = {1, 2,..., k} having a
Noncommutative manifolds, the instanton algebra and isospectral deformations
 Comm. Math. Phys
"... We give new examples of noncommutative manifolds that are less standard than the NCtorus or Moyal deformations of R n. They arise naturally from basic considerations of noncommutative differential topology and have nontrivial global features. The new examples include the instanton algebra and the ..."
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Cited by 172 (29 self)
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We give new examples of noncommutative manifolds that are less standard than the NCtorus or Moyal deformations of R n. They arise naturally from basic considerations of noncommutative differential topology and have nontrivial global features. The new examples include the instanton algebra
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 twodimensional tori and lowdimensional spheres. We are particularly interested in those aspects of the theory that link the differential geometry and the algebraic geometry of these spaces. ..."
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Cited by 2 (0 self)
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We survey some aspects of the theory of noncommutative manifolds focusing on the noncommutative analogs of twodimensional tori and lowdimensional spheres. We are particularly interested in those aspects of the theory that link the differential geometry and the algebraic geometry of these spaces.
On the ultraviolet behaviour of quantum fields over noncommutative manifolds
 JHEP
, 1305
"... By exploiting the relation between Fredholm modules and the Segal–Shale–Stinespring version of canonical quantization, and taking as starting point the firstquantized fields described by Connes ’ axioms for noncommutative spin geometries, a Hamiltonian framework for fermion quantum fields over nonc ..."
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Cited by 38 (6 self)
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noncommutative manifolds is introduced. We analyze the ultraviolet behaviour of secondquantized fields over noncommutative 3tori, and discuss what behaviour should be expected on other noncommutative spin manifolds. 1.
Probability and Geometry on some Noncommutative Manifolds by
, 2001
"... Abstract: In a noncommutative torus, effect of perturbation by inner derivation on the associated quantum stochastic process and geometric parameters like volume and scalar curvature have been studied. Cohomological calculations show that the above perturbation produces new spectral triples. Also fo ..."
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Cited by 11 (2 self)
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Abstract: In a noncommutative torus, effect of perturbation by inner derivation on the associated quantum stochastic process and geometric parameters like volume and scalar curvature have been studied. Cohomological calculations show that the above perturbation produces new spectral triples. Also
DBranes, RRFields and Duality ON NONCOMMUTATIVE MANIFOLDS
, 2006
"... We develop some of the ingredients needed for string theory on noncommutative spacetimes, proposing an axiomatic formulation of Tduality as well as establishing a very general formula for Dbrane charges. This formula is closely related to a noncommutative GrothendieckRiemannRoch theorem that is ..."
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Cited by 26 (1 self)
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We develop some of the ingredients needed for string theory on noncommutative spacetimes, proposing an axiomatic formulation of Tduality as well as establishing a very general formula for Dbrane charges. This formula is closely related to a noncommutative GrothendieckRiemannRoch theorem
CALT682457 TOPOLOGICAL STRINGS ON NONCOMMUTATIVE MANIFOLDS
, 2003
"... Abstract. We identify a deformation of the N = 2 supersymmetric sigma model on a CalabiYau manifold X which has the same effect on Bbranes as a noncommutative deformation of X. We show that for hyperkähler X such deformations allow one to interpolate continuously between the Amodel and the Bmode ..."
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Abstract. We identify a deformation of the N = 2 supersymmetric sigma model on a CalabiYau manifold X which has the same effect on Bbranes as a noncommutative deformation of X. We show that for hyperkähler X such deformations allow one to interpolate continuously between the Amodel and the B
Results 1  10
of
14,967