Pieri and Murnaghan--Nakayama type Rules for Chern classes of Schubert Cells
Combinatorics
2022-11-16 v1 Algebraic Geometry
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.
Keywords
Cite
@article{arxiv.2211.06802,
title = {Pieri and Murnaghan--Nakayama type Rules for Chern classes of Schubert Cells},
author = {Neil J. Y. Fan and Peter L. Guo and Rui Xiong},
journal= {arXiv preprint arXiv:2211.06802},
year = {2022}
}