The homotopy groups of the spectrum Tmf

Abstract

We use the structure of the homotopy groups of the connective spectrum tmf of topological modular forms and the elliptic and Adams-Novikov spectral sequences to compute the homotopy groups of the non-connective version, Tmf, of that spectrum. This is done separately for the localizations at 2, 3 and higher primes.

41 pages, 27 figures

References in corpus (2)

• Algebraic topology and modular forms
• The Adams-Novikov Spectral Sequence and the Homotopy Groups of Spheres

Cited by in corpus (1)

• (Topological) modular forms with level structures: decompositions and duality