On the rational C₂-homotopy type of BSU_ℝm

2025/12/08 by Sukarto, Eunice
Mathematics · #Advanced Topology and Set Theory #Algebraic Topology (math.AT) #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology

paper · doi:10.48550/arxiv.2512.07982

openalex publication_date 2025/12/08 · openalex created_date 2025/12/11 · openalex updated_date 2026/07/28

Abstract

Motivated by a problem in motivic homotopy theory considered by Asok-Fasel-Hopkins, we give a description of the rational C₂-equivariant homotopy type of the classifying space BSU_ℝm in terms of equivariant Eilenberg-Maclane spaces.

Citations

• Localization and nilpotent spaces in A¹-homotopy theory
• On the non-existence of elements of Kervaire invariant one
• On the nonexistence of elements of Kervaire invariant one
• An Atiyah-Hirzebruch spectral sequence for KR-theory

Related

• Motivic rational homotopy type
• C₂ equivariant characteristic classes over the rational Burnside ring
• Rational homotopy theory: a brief introduction
• Homotopy type of the unitary group of the uniform Roe algebra on ℤⁿ
• Rational homotopy theory via Sullivan models: a survey