Results 11 to 20 of about 197 (138)
Noncommuting Momenta of Topological Solitons [PDF]
5 +1 pages, including Supplemental Material; v4: new references added, published ...
Watanabe, Haruki, Murayama, Hitoshi
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Structure Sheaves and Noncommutative Topologies [PDF]
The main purpose of this paper is to construct structure sheaves over noncommutative topologies associated to an arbitrary left noetherian ring. In the first section the authors quickly recollect some of the main notions, constructions and results, which will be needed throughout.
Garcia, M. +2 more
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Noncommutative topological theories of gravity [PDF]
The possibility of noncommutative topological gravity arising in the same manner as Yang-Mills theory is explored. We use the Seiberg-Witten map to construct such a theory based on a SL(2,C) complex connection, from which the Euler characteristic and the signature invariant are obtained.
García-Compeán, Hugo +3 more
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The Coupling of Topology and Inflation in Noncommutative Cosmology [PDF]
We show that, in a model of modified gravity based on the spectral action functional, there is a nontrivial coupling between cosmic topology and inflation, in the sense that the shape of the possible slow-roll inflation potentials obtained in the model from the nonperturbative form of the spectral action are sensitive not only to the geometry (flat or ...
Marcolli, Matilde +2 more
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Noncommutative topological half-flat gravity [PDF]
12+1 pages, revtex4, no ...
García-Compeán, H. +2 more
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Noncommutative Topological Dynamics. II [PDF]
This part deals with almost periodic and weakly mixing C ∗
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A noncommutative deformation of topological field theory [PDF]
Cohomological Yang-Mills theory is formulated on a noncommutative differentiable four manifold through the $θ$-deformation of its corresponding BRST algebra. The resulting noncommutative field theory is a natural setting to define the $θ$-deformation of Donaldson invariants and they are interpreted as a mapping between the Chevalley-Eilenberg homology ...
García-Compeán, Hugo, Paniagua, Pablo
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Topological charges of noncommutative soliton [PDF]
The noncommutative soliton is characterized by the use of the projection operators in non-commutative space. By using the close relation with the K-theory of $C^*$-algebra, we consider the variations of projection operators along the commutative directions and identify their topological charges.
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Topological Charge of Noncommutative ADHM Instanton [PDF]
We analytically calculate the topological charge of general noncommutative U (N) instantons using the Corrigan's identity and find that the result is exactly the instanton number k, which appears in the noncommutative ADHM construction as the dimension of the vector space V. This result coincides with the corresponding fact in the commutative case.
Tian, Yu +2 more
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TOPOLOGICAL STRINGS ON NONCOMMUTATIVE MANIFOLDS [PDF]
We identify a deformation of the N=2 supersymmetric sigma model on a Calabi–Yau manifold X which has the same effect on B-branes as a noncommutative deformation of X. We show that for hyperkähler X such deformations allow one to interpolate continuously between the A-model and the B-model.
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