Cohomology of twisted $\mathcal{D}$-modules on ${\mathbb{P}}^1$ obtained as extensions from ${\mathbb{C}}^{\times }$

Claude Eicher

We construct twisted $\mathcal{D}$-modules on the projective line ${\mathbb{P}}^1$ that are equivariant for the action of the diagonal torus subgroup of $S{L}_2$. In the most interesti…