Mark Behrens, Michael Hill, Michael J. Hopkins, Mark Mahowald
Published 2007-10-29, updated 2008-08-12Version 2
Let M(1) be the mod 2 Moore spectrum. J.F. Adams proved that M(1) admits a minimal v_1-self map v_1^4: Sigma^8 M(1) -> M(1). Let M(1,4) be the cofiber of this self-map. The purpose of this paper is to prove that M(1,4) admits a minimal v_2-self map of the form v_2^32: Sigma^192 M(1,4) -> M(1,4). The existence of this map implies the existence of many 192-periodic families of elements in the stable homotopy groups of spheres.
Comments: 31 pages, 16 figures. Revised version: includes new section (section 9)explaining centrality of d_2(v_2^8) and d_3(v_2^16), and fixes an error in section 7
Higher associativity of Moore spectra
The homotopy of the K(2)-local Moore spectrum at the prime 3 revisited
A geometrical approach toward stable homotopy groups of spheres. A Desuspension Theorem (revisited)
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