Generating varieties for affine Grassmannians
Algebraic Topology
2008-10-21 v1 Algebraic Geometry
Abstract
We study the topological group structure (coming from loop multiplication) on an affine Grassmannian. In particular, we study finite-dimensional subvarieties that generate the homology ring. We show that there is a canonical family of generating Schubert varieties, namely those defined by the negative of the coroot associated to the highest root. These not only generate the homology, but generate the affine Grassmannian itself in a precise sense.
Cite
@article{arxiv.0810.3266,
title = {Generating varieties for affine Grassmannians},
author = {Peter J. Littig and Stephen A. Mitchell},
journal= {arXiv preprint arXiv:0810.3266},
year = {2008}
}