Deformation theory of objects in homotopy and derived categories II: pro-representability of the deformation functor

Details Deformation theory of objects in homotopy and derived categories II: pro-representability of the deformation functor Deformation theory of objects in homotopy and derived categories II: pro-representability of the deformation functor

2007-02-27

arxiv.org/abs/math/0702839v3

Adv. Math. 224 (2010), no. 1, 45--102

Mathematics

Algebraic Geometry

Alexander Efimov is a new co-author of this paper. New material was added: A_{\infty}-structures, Maurer-Cartan theory for A_{

Scientific paper

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) deformation functors to an appropriate bicategory of
artinian DG algebras and prove that these extended functors are
pro-representable in a strong sense.

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