Mathematical Research Letters
Volume 19 (2012)
From quantum Schubert polynomials to $k$-Schur functions via the Toda lattice
Pages: 81 – 93
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.