Two Murnaghan-Nakayama rules in Schubert calculus
Combinatorics
2016-06-07 v2 Algebraic Geometry
Abstract
The Murnaghan-Nakayama rule expresses the product of a Schur function with a Newton power sum in the basis of Schur functions. We establish a version of the Murnaghan-Nakayama rule for Schubert polynomials and a version for the quantum cohomology ring of the Grassmannian. These rules compute all intersections of Schubert cycles with tautological classes coming from the Chern character.
Keywords
Cite
@article{arxiv.1507.06569,
title = {Two Murnaghan-Nakayama rules in Schubert calculus},
author = {Andrew Morrison and Frank Sottile},
journal= {arXiv preprint arXiv:1507.06569},
year = {2016}
}
Comments
11 pages, typos (some affecting the mathematics) corrected