Volume 16, issue 5 (2016)

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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
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