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Title
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Hochschild cohomology of presheaves as map-graded categories
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Author
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Abstract
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| Building on the work of Gerstenhaber and Schack, we define the Hochschild complex of a presheaf (or a pseudofunctor) on a category as the Hochschild complex of an associated "-graded" category, motivated by the classical correspondence between pseudofunctors and fibered categories. We show that this complex is a B-algebra which controls the deformation theory of as a pseudofunctor. |
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Language
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English
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Source (journal)
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International mathematics research notices
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Publication
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2008
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ISSN
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1073-7928
1687-0247
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DOI
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10.1093/IMRN/RNN118
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Volume/pages
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(2008)
, p. ID 118,1-ID 118,32
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ISI
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000263971400143
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Full text (Publisher's DOI)
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