, Volume 157, Issue 2, pp 371-403
Date: 17 Feb 2004

K(1)-local topological modular forms

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Abstract

We construct the Witten orientation of the topological modular forms spectrum tmf in the K(1)-local setting by attaching E cells to the bordism theory MO<8>. We also identify the KO-homology of tmf with the ring of divided congruences.

Mathematics Subject Classification (2000)

55P43, 55N22, 55P43, 55P48, 55P60, 55S12, 55S25, 11G07