Milnor-Witt motivic decomposition of Stiefel varieties

TL;DR

This paper computes the MW-motivic cohomology of Stiefel varieties and establishes their integral MW-motive decomposition, confirming a prior conjecture in the field.

Contribution

It provides the first integral MW-motive decomposition of Stiefel varieties, advancing the understanding of their motivic structure.

Findings

Computed integral MW-motivic cohomology groups for Stiefel varieties

Established the integral MW-motive decomposition of Stiefel varieties

Confirmed the conjecture from previous work

Abstract

In this work, we initially compute the integral MW-motivic cohomology groups associated with Stiefel varieties. Then we proceed to establish the integral MW-motive decomposition of Stiefel varieties, which proves the conjecture in our previous work.