Produces five 192-periodic families of simple η-torsion elements in stable stems with trivial tmf-Hurewicz image and shows several other families are simple η-torsion.
On the last K ervaire invariant problem
3 Pith papers cite this work. Polarity classification is still indexing.
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RO(C2)-graded Hurewicz images of C2-equivariant Eilenberg-MacLane spectra are determined by the number of linearly independent vector fields on spheres.
Determines the 3-cell skeleton of the homotopy fiber F of ΣX → S^{n+1} for simply-connected 2-cell X, p-locally via A^min-theory and EMSS, and applies it to compute the 2-primary π18(Σ³CP²).
citing papers explorer
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New simple $\eta$-torsion families of elements in the stable stems
Produces five 192-periodic families of simple η-torsion elements in stable stems with trivial tmf-Hurewicz image and shows several other families are simple η-torsion.
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A Hurewicz Theorem for $RO(C_2)$-graded Equivariant Homology Governed by Vector Fields on Spheres
RO(C2)-graded Hurewicz images of C2-equivariant Eilenberg-MacLane spectra are determined by the number of linearly independent vector fields on spheres.
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A "Periodicity" Phenomenon of the Attaching Map of the Suspended Two-Cell Complex
Determines the 3-cell skeleton of the homotopy fiber F of ΣX → S^{n+1} for simply-connected 2-cell X, p-locally via A^min-theory and EMSS, and applies it to compute the 2-primary π18(Σ³CP²).