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New infinite families in the stable homotopy groups of spheres

Published 15 Apr 2024 in math.AT | (2404.10062v2)

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 T(2)\mathrm{T}(2)- as well as K(2)\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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