Derived deformations of Artin stacks

Abstract

We generalise the techniques of arXiv:0908.1963 to describe derived deformations in simplicial categories. This allows us to consider deformation problems with higher automorphisms, such as chain complexes (which have homotopies) and stacks (which have 2-automorphisms). We also give a general approach for studying deformations of diagrams.

36 pages; v3 minor corrections, refs updated

References in corpus (2)

• Deformation theory via differential graded Lie algebras
• Presenting higher stacks as simplicial schemes

Cited by in corpus (6)

• Presenting higher stacks as simplicial schemes
• The derived contraction algebra
• The derived deformation theory of a point
• A period map for global derived stacks
• The homotopy theory of strong homotopy algebras and bialgebras
• Unifying derived deformation theories