Milnor-Witt motivic decomposition of Stiefel varieties

2024/12/18 by Keyao Peng, Peng, Keyao
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic Topology (math.AT) #Commutative Algebra and Its Applications #FOS: Mathematics #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2412.13747

openalex publication_date 2024/12/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Related

• The Gm-equivariant Motivic Cohomology of Stiefel Varieties
• Milnor-Witt Motives
• A comparison theorem for MW-motivic cohomology
• Motivic cohomology of fat points in Milnor range
• General Motivic Cohomology and Symplectic Orientation