Morita equivalence of shifted symplectic Lie n-groupoids

TL;DR

This paper proves that m-shifted symplectic forms on Lie n-groupoids are invariant under Morita equivalence, establishing a consistent framework for symplectic stacks in higher geometry.

Contribution

It provides a rigorous proof that m-shifted symplectic forms are preserved under Morita equivalence of Lie n-groupoids, extending previous concepts.

Findings

m-shifted symplectic forms are Morita invariant

The paper offers a rigorous proof of this invariance

Supports the development of symplectic stacks in higher geometry

Abstract

Symplectic structures on higher objects like Lie groupoids have been studied for some time now, but not all of the proposed definitions are preserved under Morita equivalence of Lie groupoids, in turn giving rise to a consistent notion of symplectic stacks. Recently, this concept has been generalized to m-shifted symplectic forms on Lie n-groupoids, which are indeed preserved under Morita equivalence of Lie n-groupoids. In this paper, we give a rigorous proof for this statement.