Graded geometry and Poisson reduction

TL;DR

This paper discusses the use of graded geometry to extend the Marsden-Ratiu reduction theorem in Poisson geometry, providing background and an alternative algebraic proof.

Contribution

It offers necessary background on graded geometry and presents a new algebraic proof for the extended Poisson reduction theorem.

Findings

Extended Marsden-Ratiu reduction theorem in Poisson geometry

Provided detailed background on graded geometry

Supplied an alternative algebraic proof

Abstract

We previously extended the Marsden-Ratiu reduction theorem in Poisson geometry by means of graded geometry (see Part I of Arxiv:1009.0948) . In this note we provide the background material about graded geometry necessary for the proof. Further, we provide an alternative algebraic proof.