Séminaire Lotharingien de Combinatoire, 89B.37 (2023), 12 pp.
Carolina Benedetti, Nantel Bergeron,
Laura Colmenarejo, Franco Saliola and
Frank Sottile
A Murnaghan-Nakayama Rule for Quantum Cohomology of the Flag Manifold
Abstract.
We give a rule for the multiplication of a Schubert class by
a tautological class in the (small) quantum cohomology ring of the full
flag manifold. As an intermediary step, we establish a formula for the
multiplication of a Schubert class by a quantum Schur polynomial indexed by
a hook partition.
Received: November 15, 2022.
Accepted: February 20, 2023.
Final version: April 1, 2023.
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