7 citations · 8 across the 2 of their papers we have counts for
5 papers · 1 filter
Polytopal realizations of generalized associahedra
Frederic Chapoton, Sergey Fomin, Andrei Zelevinsky
In hep-th/0111053, a complete simplicial fan was associated to an arbitrary finite root system. It was conjectured that this fan is the normal fan of a simple convex polytope (a ge…
Loop-erased walks and total positivity
Sergey Fomin
We consider matrices whose elements enumerate weights of walks in planar directed weighted graphs (not necessarily acyclic). These matrices are totally nonnegative; more precisely,…
Finite posets and Ferrers shapes
Thomas Britz, Sergey Fomin
A survey on the Greene-Kleitman correspondence, with complete proofs, many of which are new.
Stratified spaces formed by totally positive varieties
Sergey Fomin, Michael Shapiro
By a theorem of A.Björner, for every interval in the Bruhat order of a Coxeter group , there exists a stratified space whose strata are labeled by the elements of $[u,v]…
Recognizing Schubert cells
Sergey Fomin, Andrei Zelevinsky
This paper focuses on the properties of Schubert cells as quasi-projective subvarieties of a generalized flag variety. More specifically, we investigate the problem of distinguishi…