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.
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Mathematics Subject Classification (2000)
55P43, 55N22, 55P43, 55P48, 55P60, 55S12, 55S25, 11G07
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Laures, G. K(1)-local topological modular forms. Invent. math. 157, 371–403 (2004). https://doi.org/10.1007/s00222-003-0355-y
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DOI: https://doi.org/10.1007/s00222-003-0355-y