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arXiv · 1507.06569

Two Murnaghan-Nakayama rules in Schubert calculus

Andrew Morrison·Frank Sottile
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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.

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Andrew Morrison, Frank Sottile. 2016-06-06. Two Murnaghan-Nakayama rules in Schubert calculus. https://arxiv.org/abs/1507.06569

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