beta-family congruences and the f-invariant

Details beta-family congruences and the f-invariant beta-family congruences and the f-invariant

2008-09-06

arxiv.org/abs/0809.1125v2

Mathematics

Algebraic Topology

17 pages - minor revision - expanded some arguments, and changed some techniques slightly

Scientific paper

In previous work, the authors have each introduced methods for studying the 2-line of the p-local Adams-Novikov spectral sequence in terms of the arithmetic of modular forms. We give the precise relationship between the congruences of modular forms introduced by the first author with the Q-spectrum and the f-invariant of the second author. This relationship enables us to refine the target group of the f-invariant in a way which makes it more manageable for computations.

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