Bredon motivic cohomology of the complex numbers

TL;DR

This paper computes the $C_2$-equivariant Bredon motivic cohomology ring over the complex numbers with $\

Contribution

It extends Suslin's calculation of motivic cohomology to the $C_2$-equivariant setting over complex numbers.

Findings

Computed the $C_2$-equivariant Bredon motivic cohomology ring with $\

Extended motivic cohomology calculations to an equivariant context over complex numbers.

Abstract

Over the complex numbers, we compute the $C_2$-equivariant Bredon motivic cohomology ring with $\mathbb{Z}/2$ coefficients. By rigidity, this extends Suslin's calculation of the motivic cohomology ring of algebraically closed fields of characteristic zero to the $C_2$-equivariant motivic setting.