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Deformation theory of objects in homotopy and derived categories II: Pro-representability of the deformation functor |
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| Authors: | Alexander I. Efimov Dmitri O. Orlov |
| Affiliation: | a Department of Mechanics and Mathematics, Moscow State University, Moscow, Russia b Department of Mathematics, Indiana University, Bloomington, IN 47405, USA c Steklov Mathematical Institute, 8 Gubkina St., Moscow, Russia |
| Abstract: | 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. |
| Keywords: | Koszul duality Deformation theory Derived categories Moduli spaces |
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