Contractibility of the space of rational maps

Details Contractibility of the space of rational maps Contractibility of the space of rational maps

2011-08-08

arxiv.org/abs/1108.1741v3

Mathematics

Algebraic Geometry

Scientific paper

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.

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