100 citations · 319 across the 33 of their papers we have counts for
6 papers · 1 filter
Quiver coefficients are Schubert structure constants
Anders Skovsted Buch, Frank Sottile, Alexander Yong
We give an explicit natural identification between the quiver coefficients of Buch and Fulton, decomposition coefficients for Schubert polynomials, and the Schubert structure const…
Positivity of quiver coefficients through Thom polynomials
A. S. Buch, L. M. Feher, R. Rimanyi
Let r be an orbit of the quiver representation of type A_n (equioriented case). In this paper we study the Poincare dual of the closure of r (a.c.a. Thom polynomial/degeneracy loci…
Alternating signs of quiver coefficients
Anders Skovsted Buch
We prove K-theoretic generalizations of the component formulas of Knutson, Miller, and Shimozono, and deduce that K-theoretic quiver coefficients have alternating signs. We also pr…
Littlewood-Richardson rules for Grassmannians
Anders Skovsted Buch, Andrew Kresch, Harry Tamvakis
We give elementary and short proofs of the Littlewood-Richardson rules for type A Grassmannians and maximal isotropic Grassmannians, based on the corresponding Pieri rules.
Gromov-Witten invariants on Grassmannians
Anders Skovsted Buch, Andrew Kresch, Harry Tamvakis
We prove that any three-point genus zero Gromov-Witten invariant on a type A Grassmannian is equal to a classical intersection number on a two-step flag variety. We also give sympl…
Quantum cohomology of partial flag manifolds
Anders Skovsted Buch
We give elementary geometric proofs of the main theorems about the (small) quantum cohomology of partial flag varieties SL(n)/P, including the quantum Pieri and quantum Giambelli f…