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arXiv · 2211.06802

Pieri and Murnaghan--Nakayama type Rules for Chern classes of Schubert Cells

Neil J. Y. Fan·Peter L. Guo·Rui Xiong
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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.

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Neil J. Y. Fan, Peter L. Guo, Rui Xiong. 2022-11-13. Pieri and Murnaghan--Nakayama type Rules for Chern classes of Schubert Cells. https://arxiv.org/abs/2211.06802

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