Shifted symplectic structures on derived Quot-stacks I – Differential graded manifolds –

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Abstract

A theory of dg schemes is developed so that it becomes a homotopy site, and the corresponding infinity category of stacks is equivalent to the infinity category of stacks, as constructed by Toën and Vezzosi, on the site of dg algebras whose cohomologies have finitely many generators in each degree. Stacks represented by dg schemes are shown to be derived schemes under this correspondence.

Original languageEnglish (US)
Article number108369
JournalAdvances in Mathematics
Volume403
DOIs
StatePublished - Jul 16 2022
Externally publishedYes

Keywords

  • Derived Quot scheme
  • Derived Quot stack
  • Simplicial localization

ASJC Scopus subject areas

  • Mathematics(all)

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