Universal Index Theorem on $Mob(S^1)\Diff_+(S^1)$

Lee-Peng Teo

By conformal welding, there is a pair of univalent functions $(f,g)$ associated to every point of the complex Kähler manifold $\Mob(S^1)\bk\Diff_+(S^1)$. For every integer $n\geq 1…