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

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  • Dennis Borisov, University of Windsor
  • ,
  • Ludmil Katzarkov, Higher School of Economics, University of Miami, Bulgarian Academy of Sciences
  • ,
  • Artan Sheshmani, Harvard University, University of Miami, National Research University

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.

TidsskriftAdvances in Mathematics
Antal sider31
StatusUdgivet - jul. 2022

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