pith. sign in

arxiv: 1205.6519 · v1 · pith:SX3PHAQCnew · submitted 2012-05-29 · 🧮 math.AG · math.RT· math.SG

The Derived Marsden-Weinstein Quotient is Symplectic

Jeremy Pecharich This is my paper
classification 🧮 math.AG math.RTmath.SG
keywords symplecticderivedformactionalongartinassumptionscategory
0
0 comments X p. Extension
pith:SX3PHAQC Add to your LaTeX paper What is a Pith Number? 
\usepackage{pith}
\pithnumber{SX3PHAQC}

Prints a linked pith:SX3PHAQC badge after your title and writes the identifier into PDF metadata. Compiles on arXiv with no extra files. Learn more

read the original abstract

Let $(X,\omega_X)$ be a derived scheme with a 0-symplectic form and suppose there is a Hamiltonian $G$-action with a moment map for $G$ a reductive group. We prove, under no further assumptions, that symplectic reduction along any coadjoint orbit in the category of derived Artin stacks has a 0-symplectic form.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Derived Symplectic Reduction in Differential Geometry

    math.SG 2026-05 unverdicted novelty 7.0

    Proves a derived symplectic reduction theorem by modeling the quotient as a dg-groupoid and constructing a non-degenerate reduced form in the Bott-Shulman complex.