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arXiv · 0809.1091

The topology of Birkhoff varieties

Luke Gutzwiller·Stephen A. Mitchell
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Abstract

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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Luke Gutzwiller, Stephen A. Mitchell. 2009-03-29. The topology of Birkhoff varieties. https://arxiv.org/abs/0809.1091

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