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arXiv · 1910.13545

A Bruhat Atlas on the Wonderful Compactification of PSO(2n)/SO(2n-1)

Daoji Huang
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Abstract

A stratified manifold has a Bruhat atlas on it if it can be covered with open charts such that each chart is stratified-isomorphic to an (opposite) Bruhat cell in a (usually Kac-Moody) flag manifold. In this paper, we construct an anticanonical stratification on the wonderful compactification of the symmetric space $PSO(2n)/SO(2n-1)$ and show that the open charts are isomorphic to certain (opposite) Bruhat cells in the type $D_{n+1}$ flag manifold.

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Daoji Huang. 2019-10-29. A Bruhat Atlas on the Wonderful Compactification of PSO(2n)/SO(2n-1). https://arxiv.org/abs/1910.13545

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