The sigma orientation is an H∞ map

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A modular description of the K(2)-local sphere at the prime 3 (2005, methodology): “However, for the 3-primary applications in this paper, we shall let E2 denote the spectrum corresponding to the Lubin-Tate deformation of the height 2 formal group F ′ 2 over F9 whose 3-series is given by [3]F ′ 2 = −x(9).”
What precisely are E∞ring spaces and E∞ring spectra? (2009, background): “The main modern focus is on the Thom spectrum level and calculational applications to stable homotopy theory, as in [3, 4, 10, 11].”
Commutativity conditions for truncated Brown–Peterson spectra of height 2 (2011, methodology): “ψ: E0 → Scomes with an isogeny ψp CP∞ : f ∗G→ (f(p))∗Gwith kernel H. These ﬁt into a commutative diagram as follows: E0 f(p) // f }z}z zzz zzz z S S //S/ (p) Frob //S/(p) Remark 2.2. The reference [AHS04], in order to guarantee the existence of universal deformations, makes the blanket assumption t”
Topological modular forms with level structure (2013, background): “The work of Ando, Hopkins, Rezk, and Strickland produced highly multiplicative lifts of the sigma orientation and the Atiyah–Bott–Shapiro orientation [1,3], ultimately in the form of E∞ maps MO〈8〉 → Tmf and MO〈4〉 → KO.”