Title
On the (non)vanishing of some "derived" categories of curved dg algebras On the (non)vanishing of some "derived" categories of curved dg algebras
Author
Faculty/Department
Faculty of Sciences. Mathematics and Computer Science
Publication type
article
Publication
Amsterdam ,
Subject
Mathematics
Source (journal)
Journal of pure and applied algebra. - Amsterdam
Volume/pages
214(2010) :7 , p. 1271-1284
ISSN
0022-4049
ISI
000274938600022
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
Since curved dg algebras, and modules over them, have differentials whose square is not zero, these objects have no cohomology, and there is no classical derived category. For different purposes, different notions of derived categories have been introduced in the literature. In this article, we show that for some concrete curved dg algebras, these derived categories vanish. This happens for example for the initial curved dg algebra whose module category is the category of precomplexes, and for certain deformations of dg algebras.
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