Scholarlink

<p>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. We also discuss some positivity conjectures about Chern–Schwartz–MacPherson classes.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Pieri and Murnaghan–Nakayama type rules for Chern classes of Schubert Cells

  • 期刊论文

  • 发表日期：

    2025年12月17日

查看全文
  • Neil J. Y. Fan,
  • Peter L. Guo,
  • Rui Xiong

摘要

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. We also discuss some positivity conjectures about Chern–Schwartz–MacPherson classes.