111 citations · 388 across the 47 of their papers we have counts for
6 papers · 1 filter
Metric combinatorics of convex polyhedra: cut loci and nonoverlapping unfoldings
Ezra Miller, Igor Pak
This paper is a study of the interaction between the combinatorics of boundaries of convex polytopes in arbitrary dimension and their metric geometry. Let S be the boundary of a co…
Alternating formulas for K-theoretic quiver polynomials
Ezra Miller
The main theorem here is the K-theoretic analogue of the cohomological `stable double component formula' for quiver functions in [Knutson, Miller, and Shimozono, math.AG/0308142].…
Subword complexes in Coxeter groups
Allen Knutson, Ezra Miller
Let (Π,Σ) be a Coxeter system. An ordered list of elements in Σand an element in Πdetermine a {\em subword complex}, as introduced in our paper on Gröbner geometry of Schubert poly…
Algorithms for graded injective resolutions and local cohomology over semigroup rings
David Helm, Ezra Miller
Let Q be an affine semigroup generating Z^d, and fix a finitely generated Z^d-graded module M over the semigroup algebra k[Q] for a field k. We provide an algorithm to compute a mi…
Four positive formulae for type A quiver polynomials
Allen Knutson, Ezra Miller, Mark Shimozono
We give four positive formulae for the (equioriented type A) quiver polynomials of Buch and Fulton. All four formulae are combinatorial, in the sense that they are expressed in ter…
Toric degeneration of Schubert varieties and Gel'fand-Cetlin polytopes
Mikhail Kogan, Ezra Miller
This note constructs the flat toric degeneration of the manifold FL_n of flags in C^n from [Gonciulea-Lakshmibai 96] as an explicit GIT quotient of the Gr"obner degeneration in [Kn…