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BIBTEX RIS

Deformation theory of objects in homotopy and derived categories I: General theory

2009; Elsevier BV; Volume: 222; Issue: 2 Linguagem: Inglês

10.1016/j.aim.2009.03.021

ISSN

1090-2082

Autores

Alexander I. Efimov, Valery A. Lunts, Dmitri Olegovich Orlov,

Tópico(s)

Advanced Topics in Algebra

Resumo

This is the first paper in a series. We develop a general deformation theory of objects in homotopy and derived categories of DG categories. Namely, for a DG module E over a DG category we define four deformation functors Defh(E), coDefh(E), Def(E), coDef(E). The first two functors describe the deformations (and co-deformations) of E in the homotopy category, and the last two – in the derived category. We study their properties and relations. These functors are defined on the category of artinian (not necessarily commutative) DG algebras.

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