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math.AG2008★ 1 cited
The totally nonnegative part of G/P is a CW complex
Konstanze Rietsch, Lauren Williams
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…
math.AG2007★ 39 cited
Matching polytopes, toric geometry, and the non-negative part of the Grassmannian
Alexander Postnikov, David Speyer, Lauren Williams
In this paper we use toric geometry to investigate the topology of the totally non-negative part of the Grassmannian (Gr_{kn})_{\geq 0}. This is a cell complex whose cells Delta_G…