Appears in collection : 2023 - T2 - WS3 - Dg-manifolds in geometry and physics

Lie bialgebroids (or, more generally, dg Gerstenhaber algebras) and their integrating objects, Poisson groupoids and double symplectic groupoids, have an interesting generalization in the braided world of quasi-Hamiltonian spaces. Examples can be constructed using moduli spaces of flat connection.