4 citations · 9 across the 4 of their papers we have counts for
4 papers
Generating varieties for affine Grassmannians
Peter J. Littig, Stephen A. Mitchell
We study the topological group structure (coming from loop multiplication) on an affine Grassmannian. In particular, we study finite-dimensional subvarieties that generate the homo…
The topology of Birkhoff varieties
Luke Gutzwiller, Stephen A. Mitchell
Our main theorem is that the inclusion of a Birkhoff variety in the affine Grassmannian is a homotopy equivalence. We also construct analogues of tubular neighborhoods for Birkhoff…
Affine partitions and affine Grassmannians
Sara C. Billey, Stephen A. Mitchell
We give a bijection between certain colored partitions and the elements in the quotient of an affine Weyl group modulo its Weyl group. By Bott's formula these colored partitions gi…
Smooth and palindromic Schubert varieties in affine Grassmannians
Sara C. Billey, Stephen A. Mitchell
Let G be a simply-connected simple compact Lie group over the complex numbers. The affine Grassmannian is a projective ind-variety, homotopy-equivalent to the loop space of G and c…