Coniveau filtrations and Milnor operations Qn

TL;DR

This paper introduces a new stable rational invariant derived from coniveau filtrations for classifying spaces of algebraic groups, enhancing understanding of their geometric and cohomological properties.

Contribution

It computes a novel invariant based on coniveau filtrations for classifying spaces, connecting algebraic geometry and cohomology in a new way.

Findings

Defined a new stable rational invariant for BG

Connected coniveau filtrations with algebraic group classifying spaces

Provided explicit computations for the invariant

Abstract

Let BG be the classifying space of an algebraic group over the complex field C. We compute a new stable rational invariant defined by the difference of two coniveau filtrations (by Benoist and Ottem) of a (projective) approximation for BG.