Bredon motivic cohomology of the complex numbers

2022/02/24 by Jeremiah Heller, Heller, Jeremiah, Mircea Voineagu +3
Mathematics · #14F42 #55P91 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #FOS: Mathematics #K-Theory and Homology (math.KT)

paper · pdf · doi:10.48550/arxiv.2202.12366

openalex publication_date 2022/02/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Over the complex numbers, we compute the C₂-equivariant Bredon motivic cohomology ring with ℤ/2 coefficients. By rigidity, this extends Suslin's calculation of the motivic cohomology ring of algebraically closed fields of characteristic zero to the C₂-equivariant motivic setting.

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