Manchester Geometry Seminar 2014/2015

Monday 23 March 2015. Extra session. Alan Turing_G.205. 4pm

The Dual Atiyah Sequence

Aneta Sliżewska (University of Białystok)

We construct and investigate a short exact sequence of Poisson VB-groupoids which is canonically related to the Atiyah sequence of a $G$-principal bundle $P$. We formulate propositions describing the structure of the symplectic leaves of the Poisson groupoid $(T^*P\times T^*P)/G$ over $TP/G$.