Shifted edge labeled tableaux and localizations

TL;DR

This paper establishes combinatorial formulas for specific localization coefficients in the Anderson-Fulton ring, linking them to the equivariant cohomology of isotropic Grassmannians, advancing understanding in algebraic geometry.

Contribution

It provides the first combinatorial description for certain structure coefficients of the Anderson-Fulton ring related to isotropic Grassmannians.

Findings

Derived combinatorial rules for localization coefficients

Connected algebraic structures to geometric cohomology

Extended conjectural rules to new cases

Abstract

We prove cases of a conjectural rule of H. Yadav, A. Yong, and the author for structure coefficients of the D. Anderson-W. Fulton ring. In particular, we give a combinatorial description for certain localization coefficients of this ring, which is related to the equivariant cohomology of isotropic Grassmannians.