Topological modular forms Spectra: tmf, TMF (previously called eo2.) The coefficient ring π*(tmf) is called the ring of topological modular forms. TMF is tmf with the 24th power of the modular form Δ inverted, and has period 242=576. At the prime p = 2, the completion of tmf is the spectrum eo2, and the K(2)-localization of tmf is the Hopkins-Miller Higher Real K-theory spectrum EO2. |

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