Homotopy ring maps MU to E^e lift to E_ρ-maps MU_R to E for strongly even E_∞^{C2}-rings, yielding structured real orientations and the first E_ρ-algebra on BP_R.
(Cited on pages 4, 14, and 16.) [Ste25b] Natalie Stewart
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Multiplicative Equivariant Thom Spectra & Structured Real Orientations
Homotopy ring maps MU to E^e lift to E_ρ-maps MU_R to E for strongly even E_∞^{C2}-rings, yielding structured real orientations and the first E_ρ-algebra on BP_R.