Non-commutative derived moduli prestacks

Abstract

We introduce a formalism for derived moduli functors on differential graded associative algebras, which leads to non-commutative enhancements of derived moduli stacks and naturally gives rise to structures such as Hall algebras. Descent arguments are not available in the non-commutative context, so we establish new methods for constructing various kinds of atlases. The formalism permits the development of the theory of shifted bi-symplectic and shifted double Poisson structures in the companion paper.

arXiv comment41pp

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Cited by in corpus (4)

• The derived deformation theory of a point
• An introduction to derived (algebraic) geometry
• Shifted bisymplectic and double Poisson structures on non-commutative derived prestacks
• Twisted bi-symplectic structure on Koszul twisted Calabi-Yau algebras