Inventiones mathematicae

, Volume 157, Issue 2, pp 371-403

First online:

K(1)-local topological modular forms

  • Gerd LauresAffiliated withMathematisches Institut, Universität Heidelberg Email author 

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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.