Contractibility of the space of rational maps

DSpace/Manakin Repository

Contractibility of the space of rational maps

Citable link to this page


Title: Contractibility of the space of rational maps
Author: Gaitsgory, Dennis
Citation: Gaitsgory, Dennis. 2012. “Contractibility of the Space of Rational Maps.” Invent. Math. 191 (1) (March 7): 91–196. doi:10.1007/s00222-012-0392-5.
Full Text & Related Files:
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 BunG of G-bundles on X is uniformized by the appropriate rational version of the affine Grassmannian, where the uniformizing map has contractible fibers.
Published Version: doi:10.1007/s00222-012-0392-5
Other Sources:
Terms of Use: This article is made available under the terms and conditions applicable to Open Access Policy Articles, as set forth at
Citable link to this page:
Downloads of this work:

Show full Dublin Core record

This item appears in the following Collection(s)


Search DASH

Advanced Search