New simple η-torsion families of elements in the stable stems

2024/10/28 by Irina Bobkova, Bobkova, Irina, J. D. Quigley +1 · 1 citation
Biochemistry, Genetics and Molecular Biology · #55P42 #55Q10 #55Q45 #55Q51 #Algebraic Topology (math.AT) #FOS: Mathematics #Microtubule and mitosis dynamics

paper · pdf · doi:10.48550/arxiv.2410.21181

openalex publication_date 2024/10/28 · openalex created_date 2024/11/14 · openalex updated_date 2026/07/30

Abstract

We produce five 192-periodic infinite families of simple η-torsion elements in the stable homotopy groups of spheres with trivial image under the tmf-Hurewicz homomorphism. We also establish that several other 192-periodic families in the stable stems, which are in the tmf-Hurewicz image, consist of simple η-torsion elements.

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