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Two Murnaghan-Nakayama rules in Schubert calculus

Published 23 Jul 2015 in math.CO and math.AG | (1507.06569v2)

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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Authors (2)

  1. Andrew Morrison 
  2. Frank Sottile 

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