Picard groups of b-symplectic manifolds

TL;DR

This paper computes the Picard group of stable b-symplectic manifolds using discrete invariants to classify these manifolds up to Morita equivalence, advancing understanding in symplectic geometry.

Contribution

Introduces a set of discrete invariants that classify stable b-symplectic manifolds up to Morita equivalence, providing a new method for computing their Picard groups.

Findings

Computed the Picard group for stable b-symplectic manifolds.

Developed a classification scheme using discrete invariants.

Established Morita equivalence classification for these manifolds.

Abstract

We compute the Picard group of a stable b-symplectic manifold $M$ by introducing a collection of discrete invariants $\mathfrak{Gr}$ which classify $M$ up to Morita equivalence.