Computing Equivariant Homotopy with a Splitting Method

2022/03/27 by Yutao Liu, Liu, Yutao
Mathematics · #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2203.14361

openalex publication_date 2022/03/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We develop a new method in the computation of equivariant homotopy, which is based on the splitting of cofiber sequences associated to universal spaces in the category of equivariant spectra. In particular, we use this method to compute the homotopy of H\underlineℤ for G=D_2p and A₅.

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