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