Volume 11, issue 4 (2011)

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Toda brackets and congruences of modular forms

Gerd Laures

Algebraic & Geometric Topology 11 (2011) 1893–1914
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/