On the Homotopy of Symplectomorphism Groups of Homogeneous Spaces

Andrés Viña

Let $\mathcal{O}$ be a quantizable coadjoint orbit of a semisimple Lie group $G$. Under certain hypotheses we prove that $#(π_1(\text{Ham}({\cal O})))\geq #(Z(G))$, where $\text{Ham}(…