Title
Hochschild cohomology of presheaves as map-graded categories Hochschild cohomology of presheaves as map-graded categories
Author
Faculty/Department
Faculty of Sciences. Mathematics and Computer Science
Publication type
article
Publication
Subject
Mathematics
Source (journal)
International mathematics research notices
Volume/pages
(2008) , p. ID 118,1-ID 118,32
ISSN
1073-7928
ISI
000263971400143
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
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.
E-info
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000263971400143&DestLinkType=RelatedRecords&DestApp=ALL_WOS&UsrCustomerID=ef845e08c439e550330acc77c7d2d848
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000263971400143&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=ef845e08c439e550330acc77c7d2d848
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000263971400143&DestLinkType=CitingArticles&DestApp=ALL_WOS&UsrCustomerID=ef845e08c439e550330acc77c7d2d848
Handle