2 citations · 5 across the 5 of their papers we have counts for
12 papers
Amplituhedra and origami, II: loop level
Pavel Galashin
Building on the recently discovered origami-amplituhedron correspondence, we prove that the BCFW (Britto-Cachazo-Feng-Witten) cells triangulate the amplituhedron in full gene…
Comparing cluster algebras on braid varieties
Roger Casals, Pavel Galashin, Mikhail Gorsky +3
Braid varieties parametrize linear configurations of flags with transversality conditions dictated by positive braids. They include and generalize reduced double Bruhat cells, posi…
Positroid Catalan numbers
Pavel Galashin, Thomas Lam
Given a permutation , we study the positroid Catalan number defined to be the torus-equivariant Euler characteristic of the associated open positroid variety. We introduce…
A formula for boundary correlations of the critical Ising model
Pavel Galashin
Given a finite rhombus tiling of a polygonal region in the plane, the associated critical -invariant Ising model is invariant under star-triangle transformations. We give a simp…
Symmetries of stochastic colored vertex models
Pavel Galashin
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 transfo…
Higher secondary polytopes and regular plabic graphs
Pavel Galashin, Alexander Postnikov, Lauren Williams
Given a configuration of points in , we introduce the higher secondary polytopes , which have the property that agrees…