2 citations · 8 across the 8 of their papers we have counts for
13 papers
A formula for non-equioriented quiver orbits of type A
A. S. Buch, R. Rimanyi
We prove a positive combinatorial formula for the equivariant class of an orbit closure in the space of representations of an arbitrary quiver of type . Our formula expresses th…
Eigenvalues of Hermitian matrices with positive sum of bounded rank
Anders Skovsted Buch
We give a minimal list of inequalities characterizing the possible eigenvalues of a set of Hermitian matrices with positive semidefinite sum of bounded rank. This answers a questio…
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…