Classical BV formalism for group actions

Pavel Safronov, Alexander Schenkel, Marco Benini

Research output: Working paper

Abstract / Description of output

We study the derived critical locus of a function f: [X/G]→A^1 on the quotient stack of a smooth affine scheme X by the action of a smooth affine group scheme G. It is shown that dCrit(f)=[Z/G] is a derived quotient stack for a derived affine scheme Z, whose dg-algebra of functions is described explicitly. Our results generalize the classical BV formalism in finite dimensions from Lie algebra to group actions.
Original languageEnglish
Number of pages17
Publication statusPublished - 10 May 2021


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