The beta family at the prime two and modular forms of level three

von Bodecker, Hanno

doi:10.2140/agt.2016.16.2851

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The beta family at the prime two and modular forms of level three

Hanno von Bodecker

Algebraic & Geometric Topology 16 (2016) 2851–2864

DOI: 10.2140/agt.2016.16.2851

Abstract

We use the orientation underlying the Hirzebruch genus of level three to map the beta family at the prime $p = 2$ into the ring of divided congruences. This procedure, which may be thought of as the elliptic Greek letter beta construction, yields the $f$ –invariants of this family.

Keywords

stable homotopy of spheres, Greek letter construction, elliptic genera

Mathematical Subject Classification 2010

Primary: 55Q45

Secondary: 11F11, 55Q51, 58J26

References

Publication

Received: 1 June 2015

Revised: 4 January 2016

Accepted: 19 March 2016

Published: 7 November 2016

Authors

Hanno von Bodecker
Fakultät für Mathematik Universität Bielefeld Postfach 100131 D-33501 Bielefeld Germany

Volume 16, issue 5 (2016)