224 citations · 639 across the 32 of their papers we have counts for
4 papers · 1 filter
Formality of DG algebras (after Kaledin)
Valery A. Lunts
We provide proper foundations and proofs for the main results of [Ka]. The results include a flat base change for formality and behavior of formality in flat families of $A(\infty)…
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…