From quantum Schubert polynomials to k-Schur functions via the Toda lattice

Published 19 Oct 2010 in math.CO and math.AG | (1010.4047v2)

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 upon Kostant's solution of the Toda lattice and Peterson's work on quantum Schubert calculus.

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