Results 21 to 30 of about 164,169 (170)
Principal non-commutative torus bundles [PDF]
Proceedings of the London Mathematical Society, 2008 In this paper we study continuous bundles of C*-algebras which are non-commutative analogues of principal torus bundles. We show that all such bundles, although in general being very far away from being locally trivial bundles, are at least locally trivial with respect to a suitable bundle version of bivariant K-theory (denoted RKK-theory) due to ...
Echterhoff, Siegfried +2 more
openaire +7 more sources
Chern character in twisted K-theory: equivariant and holomorphic cases [PDF]
, 2002 It has been argued by Witten and others that in the presence of a nontrivial B-field, D-brane charges in type IIB string theories are measured by twisted K-theory.
Mathai, Varghese, Stevenson, Danny
core +7 more sources
Characteristic principal bundles [PDF]
Transactions of the American Mathematical Society, 1975 Characteristic principal bundles are the duals of commutative twisted group algebras. A principal bundle with locally compact second countable (Abelian) group and base space is characteristic iff it supports a continuous eigenfunction for almost every character measurably in the characters, also iff it is the quotient by Z of a principal E-bundle for ...
openaire +2 more sources
Nontrivial Deformation of a Trivial Bundle [PDF]
, 2014 The ${\rm SU}(2)$-prolongation of the Hopf fibration $S^3\to S^2$ is a trivializable principal ${\rm SU}(2)$-bundle. We present a noncommutative deformation of this bundle to a quantum principal ${\rm SU}_q(2)$-bundle that is not trivializable.
Hajac, Piotr M., Zieliński, Bartosz
core +1 more source
Geometry of classical Higgs fields [PDF]
, 2005 In gauge theory, Higgs fields are responsible for spontaneous symmetry breaking. In classical gauge theory on a principal bundle P, a symmetry breaking is defined as the reduction of a structure group of this principal bundle to a subgroup H of exact ...
Sardanashvily, G.
core +1 more source
On equivariant Serre problem for principal bundles [PDF]
, 2018 Let $E_G$ be a $\Gamma$--equivariant algebraic principal $G$--bundle over a normal complex affine variety $X$ equipped with an action of $\Gamma$, where $G$ and $\Gamma$ are complex linear algebraic groups.
Biswas, Indranil +2 more
core +2 more sources
Principal bundles on elliptic fibrations [PDF]
Asian Journal of Mathematics, 1997 A central role in recent investigations of the duality of F-theory and heterotic strings is played by the moduli of principal bundles, with various structure groups G, over an elliptically fibered Calabi-Yau manifold on which the heterotic theory is compactified.
openaire +2 more sources
Principal bundle structure of matrix manifolds
, 2017 In this paper, we introduce a new geometric description of the manifolds of matrices of fixed rank. The starting point is a geometric description of the Grassmann manifold $\mathbb{G}_r(\mathbb{R}^k)$ of linear subspaces of dimension ...
Billaud-Friess, Marie +2 more
core +2 more sources
Translation map in quantum principal bundles
, 1996 The notion of a translation map in a quantum principal bundle is introduced. A translation map is then used to prove that the cross sections of a quantum fibre bundle $E(B,V,A)$ associated to a quantum principal bundle $P(B,A)$ are in bijective ...
Booss +23 more
core +1 more source
On connections on principal bundles
Arab Journal of Mathematical Sciences, 2017 Final ...
openaire +4 more sources