Non-commutative derived moduli prestacks

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Abstract / Description of output

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 [Pri9].
Original languageEnglish
Article number109300
JournalAdvances in Mathematics
Volume433
Early online date18 Sept 2023
DOIs
Publication statusPublished - 15 Nov 2023

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