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Mathematics > Algebraic Geometry

Title: Shifted symplectic and Poisson structures on global quotients

Authors: Wai-Kit Yeung
Abstract: For a derived stack obtained as a quotient of a derived affine scheme by a reductive group, we show that shifted symplectic structures can be characterized by the Cartan-de Rham complex. For non-reductive groups, we also show the analogous statement for Getzler's extension of the Cartan-de Rham complex. Dually, we construct a Cartan model for polyvector fields on global quotients by reductive groups, and show that shifted Poisson structures can be characterized by it.
Comments:
Subjects: Algebraic Geometry (math.AG); Algebraic Topology (math.AT)
Cite as: arXiv:2103.09491 [math.AG]
  (or arXiv:2103.09491v2 [math.AG] for this version)

Submission history

From: Wai-Kit Yeung [view email]
[v1] Wed, 17 Mar 2021 07:54:31 GMT (32kb)
[v2] Sat, 15 May 2021 02:35:52 GMT (36kb)

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