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An example of noncommutative deformations
, 2008
"... We compute the noncommutative deformations of a family of modules over the first Weyl algebra. This example shows some important properties of noncommutative deformation theory that separates it from commutative deformation theory. MSC2000: 14D15; 13D10 1 ..."
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We compute the noncommutative deformations of a family of modules over the first Weyl algebra. This example shows some important properties of noncommutative deformation theory that separates it from commutative deformation theory. MSC2000: 14D15; 13D10 1
Noncommutative Deformation of Instantons
, 805
"... We construct instanton solutions on noncommutative Euclidean 4space which are deformations of instanton solutions on commutative Euclidean 4space. We show that the instanton numbers of these noncommutative instanton solutions coincide with the commutative solutions and conjecture that the instanto ..."
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We construct instanton solutions on noncommutative Euclidean 4space which are deformations of instanton solutions on commutative Euclidean 4space. We show that the instanton numbers of these noncommutative instanton solutions coincide with the commutative solutions and conjecture
Computing noncommutative deformations
"... Abstract Let M be a right module over an associative kalgebra A, where k is a field. We show how to compute noncommutative deformations of M in concrete terms, using an obstruction calculus based on free resolutions. ..."
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Abstract Let M be a right module over an associative kalgebra A, where k is a field. We show how to compute noncommutative deformations of M in concrete terms, using an obstruction calculus based on free resolutions.
NONCOMMUTATIVE DEFORMATIONS OF SHEAVES OF MODULES
, 2005
"... Abstract. Let k be an algebraically closed field, let X be a topological space, let A be a sheaf of associative kalgebras on X, and let F = {F1,..., Fp} be a finite family of sheaves of left Amodules on X. In this paper, we develop a noncommutative deformation theory for the family F. This theory ..."
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Abstract. Let k be an algebraically closed field, let X be a topological space, let A be a sheaf of associative kalgebras on X, and let F = {F1,..., Fp} be a finite family of sheaves of left Amodules on X. In this paper, we develop a noncommutative deformation theory for the family F. This theory
Noncommutative deformation of four dimensional
, 2002
"... We construct a model for noncommutative gravity in four dimensions, which reduces to the EinsteinHilbert action in the commutative limit. Our proposal is based on a gauge formulation of gravity with constraints. While the action is metric independent, the constraints insure that it is not topologic ..."
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We construct a model for noncommutative gravity in four dimensions, which reduces to the EinsteinHilbert action in the commutative limit. Our proposal is based on a gauge formulation of gravity with constraints. While the action is metric independent, the constraints insure
AN INTRODUCTION TO NONCOMMUTATIVE DEFORMATIONS OF MODULES
, 2003
"... Abstract. Let k be an algebraically closed (commutative) field, let A be an ..."
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Cited by 1 (0 self)
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Abstract. Let k be an algebraically closed (commutative) field, let A be an
COMPUTING NONCOMMUTATIVE DEFORMATIONS OF PRESHEAVES AND SHEAVES OF MODULES
, 2007
"... Abstract. We describe a noncommutative deformation theory for presheaves and sheaves of modules that generalizes the commutative deformation theory of these global algebraic structures, and the noncommutative deformation theory of modules over algebras due to Laudal. In the first part of the paper, ..."
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Abstract. We describe a noncommutative deformation theory for presheaves and sheaves of modules that generalizes the commutative deformation theory of these global algebraic structures, and the noncommutative deformation theory of modules over algebras due to Laudal. In the first part of the paper
Results 1  10
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