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

Mathematics – Algebraic Topology

Scientific paper

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13 pages

Scientific paper

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.

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