The topology of Birkhoff varieties

Details The topology of Birkhoff varieties The topology of Birkhoff varieties

2008-09-05

arxiv.org/abs/0809.1091v3

Mathematics

Algebraic Topology

This is a substantially revised version of an earlier submission. The main results are unchanged, but the proofs have been imp

Scientific paper

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 and Schubert varieties. We include some observations
on torus-equivariant cohomology.

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