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

DOI10.1016/j.aim.2009.11.004zbMath1197.18003arXivmath/0702839OpenAlexW2035987296MaRDI QIDQ962149

Alexander I. Efimov, Valery A. Lunts, Dmitri O. Orlov

Publication date: 6 April 2010

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0702839

zbMATH Keywords

deformation theorymoduli spaceKoszul dualityDG categoryDG modulepro-representability, bar construction

Mathematics Subject Classification ID

Related Items (11)

Deformation theory of objects in homotopy and derived categories. I: General theory ⋮ New examples of non-Fourier–Mukai functors ⋮ Gopakumar-Vafa invariants and wall-crossing ⋮ Homological mirror symmetry for curves of higher genus ⋮ Deformation theory of objects in homotopy and derived categories. III: Abelian categories ⋮ Categorical resolution of singularities ⋮ Noncommutative deformations and flops ⋮ Rational equivalence and Lagrangian tori on K3 surfaces ⋮ Proper connective differential graded algebras and their geometric realizations ⋮ The derived deformation theory of a point ⋮ Non-commutative thickening of moduli spaces of stable sheaves

Cites Work

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• Deformation theory of objects in homotopy and derived categories. III: Abelian categories
• Deformation theory of objects in homotopy and derived categories. I: General theory
• Diagonals on the permutahedra, multiplihedra and associahedra
• Notes on A∞-Algebras, A∞-Categories and Non-Commutative Geometry
• Deriving DG categories
• Introduction to bicategories
• Homological Algebra of Mirror Symmetry
• Moduli of objects in dg-categories

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