Nilpotent cone and bivariant theory

TL;DR

This paper presents a new proof using bivariant theory to show that the nilpotent cone is rationally smooth, and extends the result to a more general setting.

Contribution

It introduces a novel proof technique based on bivariant theory for the rational smoothness of the nilpotent cone and generalizes the result.

Findings

Nilpotent cone is rationally smooth.

Bivariant theory provides a new proof approach.

Extended to a more general statement.

Abstract

We exhibit a new proof, relying on bivariant theory, that the nilpotent cone is rationally smooth. Our approach enables us to prove a slightly more general statement.