Results 1  10
of
11
Noncommutative correspondences, duality and Dbranes in bivariant Ktheory
, 2007
"... We describe a categorical framework for the classification of Dbranes on noncommutative spaces using techniques from bivariant Ktheory of C∗algebras. We present a new description of bivariant Ktheory in terms of noncommutative correspondences which is nicely adapted to the study of Tduality in ..."
Abstract

Cited by 6 (0 self)
 Add to MetaCart
We describe a categorical framework for the classification of Dbranes on noncommutative spaces using techniques from bivariant Ktheory of C∗algebras. We present a new description of bivariant Ktheory in terms of noncommutative correspondences which is nicely adapted to the study of Tduality in open string theory. We systematically use the diagram calculus for bivariant Ktheory as detailed in our previous paper [12]. We explicitly work out our theory for a number of examples of noncommutative manifolds.
Equivalences of smooth and continuous principal bundles with infinitedimensional structure groups
, 2006
"... Let K be a a Lie group, modeled on a locally convex space, and M a finitedimensional paracompact manifold with corners. We show that each continuous principal Kbundle over M is continuously equivalent to a smooth one and that two smooth principal Kbundles over M which are continuously equivalent ..."
Abstract

Cited by 2 (0 self)
 Add to MetaCart
Let K be a a Lie group, modeled on a locally convex space, and M a finitedimensional paracompact manifold with corners. We show that each continuous principal Kbundle over M is continuously equivalent to a smooth one and that two smooth principal Kbundles over M which are continuously equivalent are also smoothly equivalent. In the concluding section, we relate our results to neighboring topics.
Z2graded Čech Cohomology in Noncommutative Geometry ∗ Do Ngoc Diep
, 2008
"... The Z2graded Čech cohomology theory is considered in the framework of noncommutative geometry over complex number field and in particular the homotopy invariance and Morita invariance are proven. In some special case we deduce an isomorphism between this noncommutative theory and the classical Z2g ..."
Abstract
 Add to MetaCart
The Z2graded Čech cohomology theory is considered in the framework of noncommutative geometry over complex number field and in particular the homotopy invariance and Morita invariance are proven. In some special case we deduce an isomorphism between this noncommutative theory and the classical Z2graded Čech cohomology theory. Keywords: Čech cohomology of a sheaf, cyclic theory
Z2graded Čech Cohomology in Noncommutative Geometry ∗ Do Ngoc Diep
, 2008
"... The Z2graded Čech cohomology theory is considered in the framework of noncommutative geometry over complex number field and in particular the homotopy invariance and Morita invariance are proven. In some special case we deduce an isomorphism between this noncommutative theory and the classical Z2g ..."
Abstract
 Add to MetaCart
The Z2graded Čech cohomology theory is considered in the framework of noncommutative geometry over complex number field and in particular the homotopy invariance and Morita invariance are proven. In some special case we deduce an isomorphism between this noncommutative theory and the classical Z2graded Čech cohomology theory. Keywords: Čech cohomology of a sheaf, cyclic theory
ENTIRE CYCLIC HOMOLOGY OF STABLE CONTINUOUS TRACE ALGEBRAS
, 2005
"... Abstract. A central result here is the computation of the entire cyclic homology of canonical smooth subalgebras of stable continuous trace C ∗algebras having smooth manifolds M as their spectrum. More precisely, the entire cyclic homology is shown to be canonically isomorphic to the continuous per ..."
Abstract
 Add to MetaCart
Abstract. A central result here is the computation of the entire cyclic homology of canonical smooth subalgebras of stable continuous trace C ∗algebras having smooth manifolds M as their spectrum. More precisely, the entire cyclic homology is shown to be canonically isomorphic to the continuous periodic cyclic homology for these algebras. By an earlier result of the authors, one concludes that the entire cyclic homology of the algebra is canonically isomorphic to the twisted de Rham cohomology of M. 1.
1 THE ENTIRE CYCLIC COHOMOLOGY OF NONCOMMUTATIVE 2TORI
, 709
"... Abstract. We compute the entire cyclic cohomology of the noncommutative 2tori, which are isomorphic to their periodic ones. 1. ..."
Abstract
 Add to MetaCart
Abstract. We compute the entire cyclic cohomology of the noncommutative 2tori, which are isomorphic to their periodic ones. 1.
1 THE ENTIRE CYCLIC COHOMOLOGY OF
, 709
"... Abstract. Our aim in this paper is to compute the entire cyclic cohomology of noncommutative 2tori. First of all, we clarify their algebraic structure of noncommutative 2tori as a F ∗algebra, according to the idea of ElliottEvans. Actually, they are the inductive limit of subhomogeneous F ∗alge ..."
Abstract
 Add to MetaCart
Abstract. Our aim in this paper is to compute the entire cyclic cohomology of noncommutative 2tori. First of all, we clarify their algebraic structure of noncommutative 2tori as a F ∗algebra, according to the idea of ElliottEvans. Actually, they are the inductive limit of subhomogeneous F ∗algebras. Using such a result, we compute their entire cyclic cohomology, which is isomorphic to their periodic one as a complex vector space. 1.
ULBTH04/18 hepth/0405210 The Cascade is a MMS Instanton
, 2004
"... Wrap m D5branes around the 2cycle of a conifold, place n D3branes at a point and watch the system relax. The D5branes source m units of RR 3form flux on the 3cycle, which cause dielectric NS5branes to nucleate and repeatedly sweep out the 3cycle, each time gaining m units of D3charge while ..."
Abstract
 Add to MetaCart
Wrap m D5branes around the 2cycle of a conifold, place n D3branes at a point and watch the system relax. The D5branes source m units of RR 3form flux on the 3cycle, which cause dielectric NS5branes to nucleate and repeatedly sweep out the 3cycle, each time gaining m units of D3charge while the stack of D5branes loses m units of D3charge. A similar description of the KlebanovStrassler cascade has been proposed by Kachru et al. when m>> m−n, where it is a tunneling event in the dual field theory. Using the Tdual MQCD we argue that the above process occurs for any m and n and in particular may continue for more than one step. The nonbaryonic roots of the SQCD vacua lead to new cascades because, for example, the 3cycle swept does not link all of the D5’s. This decay is the Sdual of a MMS instanton, which is the decay into flux of a brane that is trivial in twisted Ktheory. This provides the first evidence for the Sdual of the Ktheory classification that does not itself rely upon any strong/weak duality.