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https://hdl.handle.net/10316/24822
Title: | Lie groupoids and crossed module-valued gerbes over stacks | Authors: | Azimi, M. Jawad | Keywords: | Lie groupoid; Cech groupoid; Crossed module; Morita equivalence; Non-Abelian cohomology; Abelian and non-Abelian gerbes | Issue Date: | Dec-2013 | Publisher: | Elsevier | Citation: | AZIMI, M. Jawad - Lie groupoids and crossed module-valued gerbes over stacks. "Journal of Geometry and Physics". ISSN 0393-0440. Vol. 74 (2013) p. 266-288 | Serial title, monograph or event: | Journal of Geometry and Physics | Volume: | 74 | Abstract: | We provide a precise and general description of gerbes valued in an arbitrary crossed module and over an arbitrary differential stack. We achieve this using only Lie groupoids based on ordinary differential geometry. We prove that our description agrees with existing concepts of gerbes, by comparing our construction with non-Abelian cohomology. | URI: | https://hdl.handle.net/10316/24822 | ISSN: | 0393-0440 | DOI: | 10.1016/j.geomphys.2013.07.007 | Rights: | openAccess |
Appears in Collections: | I&D CMUC - Artigos em Revistas Internacionais FCTUC Matemática - Artigos em Revistas Internacionais |
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