A. Beaudry

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math.AT2026

New infinite families in the stable homotopy groups of spheres

Prasit Bhattacharya, Irina Bobkova, J. D. Quigley

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 mo…

math.AT2026

The Exotic $K (2)$ -Local Picard Group at the Prime $2$

Agnes Beaudry, Irina Bobkova, Paul G. Goerss +3

We calculate the group $I^º_{2}$ of exotic elements in the $K (2)$ -local Picard group at the prime $2$ and find it is a group of order $2^{9}$ isomorphic to $(\mathbb{Z}/8)^2 \times (\ma…

New infinite families in the stable homotopy groups of spheres

The Exotic K(2)-Local Picard Group at the Prime 2

The Exotic $K (2)$ -Local Picard Group at the Prime $2$