2 citations · 5 across the 6 of their papers we have counts for
6 papers
Poincare-Birkhoff-Witt expansions of the canonical elliptic differential form
G. Felder, R. Rimanyi, A. Varchenko
We study the canonical U(\n)-valued elliptic differential form, whose projections to different Kac-Moody algebras are key ingredients of the hypergeometric integral solutions of el…
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…
Combinatorics of rational functions and Poincare-Birkhoff-Witt expansions of the canonical U(n-)-valued differential form
R. Rimanyi, L. Stevens, A. Varchenko
We study the canonical U(n-)-valued differential form, whose projections to different Kac-Moody algebras are key ingredients of the hypergeometric integral solutions of KZ-type dif…
Coincident root loci of binary forms
L. M. Feher, A. Nemethi, R. Rimanyi
Coincident root loci are subvarieties of --the space of binary forms of degree --labelled by partitions of . Given a partition , let be the set of forms wi…
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…
Specializations of Grothendieck polynomials
Anders S. Buch, Richard Rimanyi
We prove a formula for double Schubert and Grothendieck polynomials specialized to two rearrangements of the same set of variables. Our formula generalizes the usual formulas for S…