15 citations · 27 across the 4 of their papers we have counts for
5 papers
Symplectic groupoids for cluster manifolds
Songhao Li, Dylan Rupel
We construct symplectic groupoids integrating log-canonical Poisson structures on cluster varieties of type and over both the real and complex numbers.…
Lagrangian Mechanics and Reduction on Fibered Manifolds
Songhao Li, Ari Stern, Xiang Tang
This paper develops a generalized formulation of Lagrangian mechanics on fibered manifolds, together with a reduction theory for symmetries corresponding to Lie groupoid actions. A…
The tropical momentum map: a classification of toric log symplectic manifolds
Marco Gualtieri, Songhao Li, Alvaro Pelayo +1
We give a generalization of toric symplectic geometry to Poisson manifolds which are symplectic away from a collection of hypersurfaces forming a normal crossing configuration. We…
The Stokes Groupoids
Marco Gualtieri, Songhao Li, Brent Pym
We construct and describe a family of groupoids over complex curves which serve as the universal domains of definition for solutions to linear ordinary differential equations with…
Symplectic groupoids of log symplectic manifolds
Marco Gualtieri, Songhao Li
A log symplectic manifold is a Poisson manifold which is generically nondegenerate. We develop two methods for constructing the symplectic groupoids of log symplectic manifolds. Th…