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Toda brackets and congruences of modular forms

Gerd Laures
Algebraic & Geometric Topology 11 (2011) 1893–1914
DOI: 10.2140/agt.2011.11.1893
Abstract

This paper investigates the relation between Toda brackets and congruences of modular forms. It determines the f–invariant of Toda brackets and thereby generalizes the formulas of J F Adams for the classical e–invariant to the chromatic second filtration.

Keywords
Toda brackets, topological modular forms, Adams–Novikov spectral sequence
Mathematical Subject Classification 2000
Primary: 11F33, 55N34, 55T15
Secondary: 55Q45
References
Publication
Received: 30 June 2010
Revised: 6 April 2011
Accepted: 1 May 2011
Published: 14 June 2011
Authors
Gerd Laures
Fakultät für Mathematik
Ruhr-Universität Bochum
NA1/66
D-44780 Bochum
Germany
http://www.gerd.laures.de/