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

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

2011-09-10

arxiv.org/abs/1109.2193v1

Mathematics

Combinatorics

16 pages

Scientific paper

We show that the k-double Schur functions defined by the authors, and the quantum double Schubert polynomials studied by Kirillov and Maeno and by Ciocan-Fontanine and Fulton, can be obtained from each other by an explicit rational substitution. The main new ingredient is an explicit computation of Kostant's solution to the Toda lattice in terms of equivariant Schubert classes.

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