Poisson Geometry Related to Atiyah Sequences

Kirill Mackenzie, Anatol Odzijewicz, Aneta Sliżewska

We construct and investigate a short exact sequence of Poisson $\mathcal{V}\mathcal{B}$-groupoids which is canonically related to the Atiyah sequence of a $G$-principal bundle $P$. Our resul…