English

Bredon motivic cohomology of the complex numbers

Algebraic Geometry 2023-11-01 v2 Algebraic Topology K-Theory and Homology

Abstract

Over the complex numbers, we compute the C2C_2-equivariant Bredon motivic cohomology ring with Z/2\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 C2C_2-equivariant motivic setting.

Keywords

Cite

@article{arxiv.2202.12366,
  title  = {Bredon motivic cohomology of the complex numbers},
  author = {Jeremiah Heller and Mircea Voineagu and Paul Arne Østvær},
  journal= {arXiv preprint arXiv:2202.12366},
  year   = {2023}
}

Comments

20 pages, Revised version, Accepted Documenta Math