Publication
Title
Hochschild cohomology of presheaves as map-graded categories
Author
Abstract
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.
Language
English
Source (journal)
International mathematics research notices
Publication
2008
ISSN
1073-7928
1687-0247
Volume/pages
(2008), p. ID 118,1-ID 118,32
ISI
000263971400143
Full text (Publisher's DOI)
UAntwerpen
Faculty/Department
Research group
Publication type
Subject
Affiliation
Publications with a UAntwerp address
External links
Web of Science
Record
Identification
Creation 09.12.2008
Last edited 04.07.2017
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