A Hochschild Cohomology Comparison Theorem for prestacks

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We generalize and clarify Gerstenhaber and Schack's "Special Cohomology Comparison Theorem". More specifically we obtain a fully faithful functor between the derived categories of bimodules over a prestack over a small category U and the derived category of bimodules over its corresponding fibered category. In contrast to Gerstenhaber and Schack we do not have to assume that U is a poset.
17 pages

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K-Theory and Homology, 16E40; 18D30

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http://salesiana.dossiersoluciones.com/handle/123456789/230368

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0905.2354
 http://arxiv.org/abs/0905.2354

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arXiv