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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TL;DR: In this paper, the conditions générales d'utilisation (http://www.compositio.org/conditions) of the agreement with the Foundation Compositio Mathematica are described.
Abstract: © Foundation Compositio Mathematica, 1987, tous droits réservés. L’accès aux archives de la revue « Compositio Mathematica » (http: //http://www.compositio.nl/) implique l’accord avec les conditions générales d’utilisation (http://www.numdam.org/conditions). Toute utilisation commerciale ou impression systématique est constitutive d’une infraction pénale. Toute copie ou impression de ce fichier doit contenir la présente mention de copyright.
74 citations
01 Feb 2007
TL;DR: In this paper, stable isomorphisms, trivializations, and bundle gerbe modules are introduced, which fit into the structure of a 2-category of bundle gerbes and lead to natural definitions of surface holonomy for closed surfaces, surfaces with boundary, and unoriented closed surfaces.
Abstract: Usually bundle gerbes are considered as objects of a 2-groupoid, whose 1- morphisms, called stable isomorphisms, are all invertible. I introduce new 1-morphisms which include stable isomorphisms, trivializations and bundle gerbe modules. They fit into the structure of a 2-category of bundle gerbes, and lead to natural definitions of surface holonomy for closed surfaces, surfaces with boundary, and unoriented closed surfaces.
74 citations
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TL;DR: In this article, Lambda-rings, binomial domains, and vector bundles over cp are discussed, as well as vector bundles in the context of communication in algebra, where vector bundles are represented by lambda-rings.
Abstract: (1982). Lambda-rings, binomial domains, and vector bundles over cp(∞) Communications in Algebra: Vol. 10, No. 3, pp. 311-328.
74 citations
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TL;DR: In this article, a simple construction of the moduli space of parabolic semistable principal bundles over a curve is given, where $G$ is a semisimple linear algebraic group over a normal crossing divisor.
Abstract: Principal $G$-bundles with parabolic structure over a normal crossing divisor are defined along the line of the interpretation of the usual principal $G$-bundles as functors from the category of representations, of the structure group $G$, into the category of vector bundles, satisfying certain axioms. Various results on principal bundles are extended to the more general context of principal bundles with parabolic structures, and also to parabolic $G$-bundles with Higgs structure. A simple construction of the moduli space of parabolic semistable $G$-bundles over a curve is given, where $G$ is a semisimple linear algebraic group over $C$.
73 citations