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arXiv · 2008.11684

Non-commutative derived moduli prestacks

J. P. Pridham
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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.

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J. P. Pridham. 2020-08-26. Non-commutative derived moduli prestacks. https://arxiv.org/abs/2008.11684

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