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Deformation theory of objects in homotopy and derived categories III: abelian categories
Alexander I. Efimov, Valery A. Lunts, Dmitri O. Orlov
This is the third paper in a series. In part I we developed a deformation theory of objects in homotopy and derived categories of DG categories. Here we show how this theory can be…
Deformation theory of objects in homotopy and derived categories II: pro-representability of the deformation functor
Alexander I. Efimov, Valery A. Lunts, Dmitri O. Orlov
This is the second paper in a series. In part I we developed deformation theory of objects in homotopy and derived categories of DG categories. Here we extend these (derived) defor…
Deformation theory of objects in homotopy and derived categories I: general theory
Alexander I. Efimov, Valery A. Lunts, Dmitri O. Orlov
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 over a DG c…