On the rational $C_2$-homotopy type of ${BSU_{\mathbb{R}}}_m$

Eunice Sukarto

On the rational $C_2$-homotopy type of ${BSU_{\mathbb{R}}}_m$

Algebraic Topology 2025-12-10 v1

Authors: Eunice Sukarto

Abstract

Motivated by a problem in motivic homotopy theory considered by Asok-Fasel-Hopkins, we give a description of the rational $C_2$ -equivariant homotopy type of the classifying space ${BSU_{\mathbb{R}}}_m$ in terms of equivariant Eilenberg-Maclane spaces.

Keywords

equivariant homotopy classifying space $C_2$-action rational homotopy motivic homotopy theory

Cite

@article{arxiv.2512.07982,
  title  = {On the rational $C_2$-homotopy type of ${BSU_{\mathbb{R}}}_m$},
  author = {Eunice Sukarto},
  journal= {arXiv preprint arXiv:2512.07982},
  year   = {2025}
}

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