Bredon motivic cohomology of the complex numbers

Jeremiah Heller; Mircea Voineagu; Paul Arne Østvær

doi:10.4171/dm/939

JournalsdmVol. 29, No. 1pp. 115–140

Bredon motivic cohomology of the complex numbers

Jeremiah Heller
University of Illinois at Urbana-Champaign, Urbana, USA
Mircea Voineagu
University of New South Wales, Sydney, Australia
- MathSciNet
- zbMATH Open
Paul Arne Østvær
University of Milan, Italy; University of Oslo, Norway

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Abstract

Over the complex numbers, we compute the $C_{2}$ -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 $C_{2}$ -equivariant motivic setting.

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Jeremiah Heller, Mircea Voineagu, Paul Arne Østvær, Bredon motivic cohomology of the complex numbers. Doc. Math. 29 (2024), no. 1, pp. 115–140

DOI 10.4171/DM/939