New simple $\eta$-torsion families of elements in the stable stems

Irina Bobkova; J. D. Quigley

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arXiv · 2410.21181

New simple $\eta$-torsion families of elements in the stable stems

Irina Bobkova·J. D. Quigley

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Abstract

We produce five 192-periodic infinite families of simple $\eta$-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 $\eta$-torsion elements.

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Irina Bobkova, J. D. Quigley. 2024-10-28. New simple $\eta$-torsion families of elements in the stable stems. https://arxiv.org/abs/2410.21181

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