#### 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