Inventiones mathematicae

, Volume 157, Issue 2, pp 371–403

K(1)-local topological modular forms


DOI: 10.1007/s00222-003-0355-y

Cite this article as:
Laures, G. Invent. math. (2004) 157: 371. doi:10.1007/s00222-003-0355-y


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.

Copyright information

© Springer-Verlag 2004

Authors and Affiliations

  1. 1.Mathematisches InstitutUniversität HeidelbergHeidelbergGermany

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