New infinite families in the stable homotopy groups of spheres
Abstract
We identify seven new 192-periodic infinite families of elements in the 2-primary stable homotopy groups of spheres, all of which have trivial image under the Hurewicz map for topological modular forms.We prove that these families are nontrivial after T.2/-as well as 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.
Fields of Study & Subjects
Homotopy and Cohomology in Algebraic Topology
Geometric and Algebraic Topology
Algebraic Geometry and Number Theory
Publication details
- Journal / source
- Geometry & Topology
- Volume
- 30
- Issue
- 6
- Pages
- 2367–2393
- Publication date
- 31 July 2026
- Language
- EN