Geometry & Topology
- Geom. Topol.
- Volume 13, Number 1 (2009), 319-357.
Congruences between modular forms given by the divided $\beta$ family in homotopy theory
We characterize the –line of the –local Adams–Novikov spectral sequence in terms of modular forms satisfying a certain explicit congruence condition for primes . We give a similar characterization of the –line, reinterpreting some earlier work of A Baker and G Laures. These results are then used to deduce that, for a prime which generates , the spectrum detects the and families in the stable stems.
Geom. Topol., Volume 13, Number 1 (2009), 319-357.
Received: 3 May 2008
Revised: 13 October 2008
Accepted: 8 October 2008
First available in Project Euclid: 20 December 2017
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Behrens, Mark. Congruences between modular forms given by the divided $\beta$ family in homotopy theory. Geom. Topol. 13 (2009), no. 1, 319--357. doi:10.2140/gt.2009.13.319. https://projecteuclid.org/euclid.gt/1513800182