beta-family congruences and the f-invariant
Algebraic Topology
2008-11-14 v2
Abstract
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.
Keywords
Cite
@article{arxiv.0809.1125,
title = {beta-family congruences and the f-invariant},
author = {Mark Behrens and Gerd Laures},
journal= {arXiv preprint arXiv:0809.1125},
year = {2008}
}
Comments
17 pages - minor revision - expanded some arguments, and changed some techniques slightly