Postnikov towers, k-invariants and obstruction theory for DG categories

Details Postnikov towers, k-invariants and obstruction theory for DG categories Postnikov towers, k-invariants and obstruction theory for DG categories

2008-05-29

arxiv.org/abs/0805.4483v1

Mathematics

K-Theory and Homology

27 pages

Scientific paper

By inspiring ourselves in Drinfeld's DG quotient, we develop Postnikov towers, k-invariants and an obstruction theory for dg categories. As an application, we obtain the following `rigidification' theorem: let A be a homologically connective dg category and F:B -> H0(A) a dg functor to its homotopy category. If the family of obstruction classes vanishes, then a lift for F exists.

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