Contractibility of the space of rational maps
成果类型：
Article
署名作者：
Gaitsgory, Dennis
署名单位：
Harvard University
刊物名称：
INVENTIONES MATHEMATICAE
ISSN/ISSBN：
0020-9910
DOI：
10.1007/s00222-012-0392-5
发表日期：
2013
页码：
91-196
关键词：
摘要：
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 of G-bundles on X is uniformized by the appropriate rational version of the affine Grassmannian, where the uniformizing map has contractible fibers.
来源URL：