On homotopy Poisson actions and reduction of symplectic Q-manifolds

TL;DR

This paper introduces a unified framework for reducing symplectic Q-manifolds using graded group actions characterized by multiplicative multivector fields, advancing the understanding of symmetries in graded geometric structures.

Contribution

It develops a general reduction scheme for symplectic Q-manifolds based on homotopy Poisson actions with multiplicative multivector fields, extending previous methods.

Findings

Framework unifies reduction procedures for symplectic Q-manifolds

Uses graded group actions with homological structures

Facilitates new insights into symmetries in graded geometry

Abstract

We present a general framework for reduction of symplectic Q-manifolds via graded group actions. In this framework, the homological structure on the acting group is a multiplicative multivector field.