منابع مشابه
Differentiable Stacks and Gerbes
We introduce differentiable stacks and explain the relationship with Lie groupoids. Then we study S-bundles and S-gerbes over differentiable stacks. In particular, we establish the relationship between S-gerbes and groupoid S-central extensions. We define connections and curvings for groupoid S-central extensions extending the corresponding notions of Brylinski, Hitchin and Murray for S-gerbes ...
متن کاملS-Bundles and Gerbes over Differentiable Stacks
We study S-bundles and S-gerbes over differentiable stacks in terms of Lie groupoids, and construct Chern classes and Dixmier-Douady classes in terms of analogues of connections and curvature. c © 2001 Académie des sciences/Éditions scientifiques et médicales Elsevier SAS S-Fibrés et Gerbes sur des Champs Différentiables Résumé. On étudie les S-fibrés et les S-gerbes sur des champs différentiab...
متن کاملGLSM ’ s for Gerbes ( and other toric stacks
In this paper we will discuss gauged linear sigma model descriptions of toric stacks. Toric stacks have a simple description in terms of (symplectic, GIT) C quotients of homogeneous coordinates, in exactly the same form as toric varieties. We describe the physics of the gauged linear sigma models that formally coincide with the mathematical description of toric stacks, and check that physical p...
متن کاملTwisted K-theory of Differentiable Stacks
In this paper, we develop twisted K-theory for stacks, where the twisted class is given by an S-gerbe over the stack. General properties, including the Mayer-Vietoris property, Bott periodicity, and the product structure K α ⊗K j β → K i+j α+β are derived. Our approach provides a uniform framework for studying various twisted K-theories including the usual twisted K-theory of topological spaces...
متن کاملGerbes and Duality
We describe a global approach to the study of duality transformations between antisymmetric fields with transitions and argue that the natural geometrical setting for the approach is that of gerbes, these objects are mathematical constructions generalizing U(1) bundles and are similarly classified by quantized charges. We address the duality maps in terms of the potentials rather than on their ...
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ژورنال
عنوان ژورنال: Journal of Symplectic Geometry
سال: 2011
ISSN: 1527-5256,1540-2347
DOI: 10.4310/jsg.2011.v9.n3.a2