Topic
Frame bundle
About: Frame bundle is a research topic. Over the lifetime, 1600 publications have been published within this topic receiving 23049 citations.
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60 citations
01 Feb 2005
TL;DR: In this paper, the authors extend the scope of vector bundle problems to vector bundles with more than one vector bundle and obtain the solution of the well-known moduli problems of vector bundles associated with general quivers.
Abstract: We extend the scope of a former paper to vector bundle problems involving more than one vector bundle. As the main application, we obtain the solution of the well-known moduli problems of vector bundles associated with general quivers.
60 citations
TL;DR: In this article, the authors used bundle gerbes and their connections and curvings to obtain an explicit formula for a de Rham representative of the string class of a loop group bundle.
Abstract: We use bundle gerbes and their connections and curvings to obtain an explicit formula for a de Rham representative of the string class of a loop group bundle. This is related to earlier work on calorons.
59 citations
TL;DR: In this article, the B-field action of a closed form of type (1, 1 ), both local and global, is considered and the effect makes contact with both Nahm's equations and holomorphic gerbes.
59 citations
TL;DR: In this article, it was shown that a given Calabi-Yau threefold with a stable holomorphic vector bundle can be perturbed to a solution of the Strominger system provided that the second Chern class of the vector bundle is equal to the second class of tangent bundle.
Abstract: We prove that a given Calabi-Yau threefold with a stable holomorphic vector bundle can be perturbed to a solution of the Strominger system provided that the second Chern class of the vector bundle is equal to the second Chern class of the tangent bundle. If the Calabi-Yau threefold has strict SU(3) holonomy then the equations of motion derived from the heterotic string effective action are also satisfied by the solutions we obtain.
58 citations