Two Murnaghan-Nakayama rules in Schubert calculus Institutional Repository Document uri icon

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.

author list (cited authors)

  • Morrison, A., & Sottile, F.

complete list of authors

  • Morrison, Andrew||Sottile, Frank

publication date

  • July 2015