Integration of the elliptic tangent bundle and elliptic Poisson structures

TL;DR

This paper constructs explicit Lie groupoids for elliptic tangent bundles and provides local models for symplectic integration of elliptic Poisson structures, advancing understanding of their geometric and topological properties.

Contribution

It offers explicit constructions of Lie groupoids integrating elliptic tangent bundles and models for elliptic Poisson structures, including topological conditions for Hausdorff integration.

Findings

Explicit Lie groupoid construction for elliptic tangent bundles

Topological criteria for Hausdorff integration

Local models for symplectic integration of elliptic Poisson structures

Abstract

We explicitly construct a Lie groupoid integrating the elliptic tangent bundle associated to a (possibly normal crossing) elliptic divisor, providing a necessary and sufficient topological condition for the existence of a Hausdorff integration. We also produce an explicit local model for the symplectic integration of an elliptic Poisson structure.