Contractibility of the space of rational maps
Algebraic Geometry
2012-02-27 v3 Algebraic Topology
Representation Theory
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.
Keywords
Cite
@article{arxiv.1108.1741,
title = {Contractibility of the space of rational maps},
author = {Dennis Gaitsgory},
journal= {arXiv preprint arXiv:1108.1741},
year = {2012}
}