tmf2003/11/30 by Tilman Bauer · 2 citations
Mathematics · #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Homotopy and Cohomology in Algebraic Topology #math.AT #msc:55N34 #msc:55T15
paper · pdf · doi:10.2140/gtm.2008.13.11
published as Geom. Topol. Monogr. 13 (2008) 11-40 · This is the version published by Geometry & Topology Monographs on 22 February 2008
openalex publication_date 2008/02/22 · arxiv created 2009/04/02 · arxiv updated 2009/12/01 · openalex created_date 2019/07/30 · openalex updated_date 2026/07/29
This paper contains a complete computation of the homotopy ring of the spectrum of topological modular forms constructed by Hopkins and Miller. The computation is done away from 6, and at the (interesting) primes 2 and 3 separately, and in each of the latter two cases, a sequence of algebraic Bockstein spectral sequences is used to compute the E2 term of the elliptic Adams-Novikov spectral sequence from the elliptic curve Hopf algebroid. In a further step, all the differentials in the latter spectral sequence are determined. The result of this computation is originally due to Hopkins and Mahowald (unpublished).