Applications of the Liouville symplectic form on the cotangent bundle of a loop group

Indranil Biswas, Michi-aki Inaba, Arata Komyo +2

Let $G$ be a semisimple, simply connected, affine algebraic group defined over $\mathbb{C}$. Consider the Liouville symplectic structure on the total space $T^{\ast }G((t))$ of the cotang…