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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…
math.AG1999★ 4 cited
Algebras of curvature forms on homogeneous manifolds
Alexander Postnikov, Boris Shapiro, Mikhail Shapiro
Let C(X) be the algebra generated by the curvature 2-forms of the standard hermitian line bundles over the complex homogeneous manifold X=G/B. We calculate the Hilbert polynomial o…