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arXiv · 2404.10062

New infinite families in the stable homotopy groups of spheres

Prasit Bhattacharya·Irina Bobkova·J. D. Quigley
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Abstract

We identify seven new $192$-periodic infinite families of elements in the $2$-primary stable homotopy groups of spheres. Although their Hurewicz image is trivial for topological modular forms, they remain nontrivial after $\mathrm{T}(2)$- as well as $\mathrm{K}(2)$-localization. We also obtain new information about $2$-torsion and $2$-divisibility of some of the previously known $192$-periodic infinite families in the stable stems.

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Prasit Bhattacharya, Irina Bobkova, J. D. Quigley. 2024-04-15. New infinite families in the stable homotopy groups of spheres. https://doi.org/10.2140/gt.2026.30.2367

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