Mathematics – Algebraic Topology
Scientific paper
2008-04-02
Mathematics
Algebraic Topology
30 pages, submitted. Revision - repaired an integrality error in the use of Eisenstein series
Scientific paper
We characterize the 2-line of the p-local Adams-Novikov spectral sequence in terms of modular forms satisfying a certain explicit congruence condition for primes p > 3. We give a similar characterization of the 1-line, reinterpreting some earlier work of A. Baker and G. Laures. These results are then used to deduce that, for l a prime which generates the p-adic units, the spectrum Q(l) detects the alpha and beta families in the stable stems.
Behrens Mark
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