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

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.

13 pages

References in corpus (3)

• Congruences between modular forms given by the divided beta family in homotopy theory
• On the geometry of the f-invariant
• beta-family congruences and the f-invariant

Cited by in corpus (1)

• Toda brackets and congruences of modular forms