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

Autor:	Fan, Neil J. Y., Guo, Peter L., Xiong, Rui
Rok vydání:	2022
Předmět:	Mathematics - Combinatorics Mathematics - Algebraic Geometry
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2211.06802 Zobrazit plný text záznamu View this record from Arxiv