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Pieri and Murnaghan--Nakayama type Rules for Chern classes of Schubert Cells (2211.06802v1)
Published 13 Nov 2022 in math.CO and math.AG
Abstract: We develop Pieri type as well as Murnaghan--Nakayama type formulas for equivariant Chern--Schwartz--MacPherson classes of Schubert cells in the classical flag variety. These formulas include as special cases many previously known multiplication formulas for Chern--Schwartz--MacPherson classes or Schubert classes. We apply the equivariant Murnaghan--Nakayama formula to the enumeration of rim hook tableaux.