2 citations · 8 across the 8 of their papers we have counts for
8 papers · 1 filter
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…
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…
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…
Schubert Polynomials and Quiver Formulas
Anders Skovsted Buch, Andrew Kresch, Harry Tamvakis +1
The work of Buch and Fulton established a formula for a general kind of degeneracy locus associated to an oriented quiver of type . The main ingredients in this formula are Schu…
Direct proof of the quantum Monk's formula
Anders Skovsted Buch
We give a direct geometric proof of the quantum Monk's formula which relies only on classical Schubert calculus.