Morita equivalence of Poisson manifold via stack groupoids

TL;DR

This paper discusses the Morita equivalence of Poisson manifolds using stack groupoids, providing a condensed overview of ongoing research in the area of Poisson geometry.

Contribution

It introduces a novel approach to Morita equivalence of Poisson manifolds through the framework of stack groupoids, advancing the theoretical understanding.

Findings

Establishes a new perspective on Poisson manifold equivalence

Connects stack groupoids with Morita theory in Poisson geometry

Provides foundational results for future research

Abstract

This is a condensed exposition of the results of a future work, based on a talk of the second author at the Oberwolfach workshop "Poisson Geometry", April 30--4 May 2007.