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arXiv · 1108.1741

Contractibility of the space of rational maps

Dennis Gaitsgory
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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.

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Dennis Gaitsgory. 2011-08-08. Contractibility of the space of rational maps. https://arxiv.org/abs/1108.1741

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