121 research outputs found
The 2-primary Hurewicz image of tmf
We determine the image of the 2-primary tmf-Hurewicz homomorphism, where tmf
is the spectrum of topological modular forms. We do this by lifting elements of
tmf_* to the homotopy groups of the generalized Moore spectrum M(8,v_1^8) using
a modified form of the Adams spectral sequence and the tmf-resolution, and then
proving the existence of a v_2^32-self map on M(8,v_1^8) to generate
192-periodic families in the stable homotopy groups of spheres.Comment: 61 pages, 12 figures. v4: made corrections based on comments from
referee
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