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arxiv: 1310.3336 · v1 · pith:PA2UJXIXnew · submitted 2013-10-12 · 🧮 math.AT

E_n Genera

classification 🧮 math.AT
keywords ringspectraeveryrepresenteddimensionalgeneragroupshomotopy
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Let R be an E_2 ring spectrum with zero odd dimensional homotopy groups. Every map of ring spectra MU to R is represented by a map of E_2 ring spectra. If 2 is invertible in pi_0(R), then every map of ring spectra MSO to R is represented by a map of E_2 ring spectra.

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