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http://hdl.handle.net/1942/11366
Title: | A Hochschild cohomology comparison theorem for prestacks | Authors: | Lowen, Wendy VAN DEN BERGH, Michel |
Issue Date: | 2011 | Publisher: | AMER MATHEMATICAL SOC | Source: | TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 363(2). p. 969-986 | Abstract: | 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. | Notes: | [Lowen, Wendy] Univ Antwerp, Dept Wiskunde Informat, B-2020 Antwerp, Belgium. [Van den Bergh, Michel] Hasselt Univ, Dept WNI, B-3590 Diepenbeek, Belgium. | Keywords: | Hochschild cohomology; fibered categories; special cohomology comparison theorem | Document URI: | http://hdl.handle.net/1942/11366 | ISSN: | 0002-9947 | e-ISSN: | 1088-6850 | ISI #: | 000282654300014 | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2011 |
Appears in Collections: | Research publications |
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0905.2354v1.pdf | 232.53 kB | Adobe PDF | View/Open |
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