We define and study the totally nonnegative part of the Chow quotient of the Grassmannian,
or more simply the nonnegative configuration space. This space has a natural stratification …

Abstract The positive Grassmannian Gr 0 k; n is the subset of the real Grassmannian where
all Plücker coordinates are nonnegative. It has a beautiful combinatorial structure as well as …

An invitation to positive geometries Page 168 Proceedings of Symposia in Pure Mathematics
Volume 110 , 2024 https://doi. org/10.1090/pspum/110/02013 An invitation to positive …

We relate the mixed Hodge structure on the cohomology of open positroid varieties (in
particular, their Betti numbers over C and point counts over F q) to Khovanov–Rozansky …

We show that the coordinate ring of an open positroid variety coincides with the cluster
algebra associated to a Postnikov diagram. This confirms conjectures of Postnikov, Muller …

Given integers 1≤ k 1<⋯< kl≤ n− 1, let Fl k 1,…, kl; n denote the type A partial flag variety
consisting of all chains of subspaces (V k 1⊂⋯⊂ V kl) inside R n, where each V k has …

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For each poset $ P $, we construct a polytope $ A (P) $ called the $ P $-associahedron.
Similarly to the case of graph associahedra, the faces of $ A (P) $ correspond to certain …

We discover a new property of the stochastic colored six-vertex model called flip-invariance.
We use it to show that for a given collection of observables of the model, any transformation …

We construct the twist automorphism of open Richardson varieties inside the flag variety of a
complex semisimple algebraic group. We show that the twist map preserves totally positive …