Symplectomorphism group of $T^{\ast }(G_{\mathbb{C}}/B)$ and the braid group I: a homotopy equivalence for $G_{\mathbb{C}}=S{L}_3(\mathbb{C})$

Xin Jin

For a semisimple Lie group $G_{\mathbb{C}}$ over $\mathbb{C}$, we study the homotopy type of the symplectomorphism group of the cotangent bundle of the flag variety and its relation…