Contractibility of the space of rational maps

Abstract

We define an algebro-geometric model for the space of rational maps from a smooth curve X to an algebraic group G, and show that this space is homologically contractible. As a consequence, we deduce that the moduli space Bun(G) of G-bundles on X is uniformized by the appropriate rational version of the affine Grassmannian, where the uniformizing map has contractible fibers.

References in corpus (2)

• Compact generation of the category of D-modules on the stack of G-bundles on a curve
• On some finiteness questions for algebraic stacks