%0 Journal Article
%T The totally nonnegative part of G/P is a CW complex
%A Konstanze Rietsch
%A Lauren Williams
%J Mathematics
%D 2008
%I arXiv
%X 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.
%U http://arxiv.org/abs/0802.0889v1