From quantum schubert polynomials to k-schur functions via the toda lattice

Abstract

We show that Lapointe-Lascoux-Morse k-Schur functions (at t = 1) and Fomin-Gelfand-Postnikov quantum Schubert polynomials can be obtained from each other by a rational substitution. This is based on Kostant's solution of the Toda lattice and Peterson's work on quantum Schubert calculus. © International Press 2012.