The log symplectic geometry of Poisson slices

TL;DR

This paper develops a theory of Poisson slices and their partial compactifications, providing a uniform approach similar to symplectic cross-sections in real symplectic geometry.

Contribution

It introduces a new framework for Poisson slices and their compactifications, bridging concepts from symplectic geometry.

Findings

Establishes a theory of Poisson slices and partial compactifications

Provides a uniform approach comparable to symplectic cross-sections

Advances understanding of Poisson geometry structures

Abstract

Our paper develops a theory of Poisson slices and a uniform approach to their partial compactifications. The theory in question is loosely comparable to that of symplectic cross-sections in real symplectic geometry.