The totally nonnegative part of G/P is a CW complex
Algebraic Geometry
2008-02-08 v1
Abstract
The totally nonnegative part of a partial flag variety G/P has been shown by the first author to be a union of semi-algebraic cells. Moreover she showed that the closure of a cell is the union of smaller cells. In this note we provide glueing maps for each of the cells to prove that the totally nonnegative part of G/P is a CW complex. This generalizes a result of Postnikov, Speyer and the second author for Grassmannians.
Keywords
Cite
@article{arxiv.0802.0889,
title = {The totally nonnegative part of G/P is a CW complex},
author = {Konstanze Rietsch and Lauren Williams},
journal= {arXiv preprint arXiv:0802.0889},
year = {2008}
}
Comments
14 pages