Abstract.
We prove that the stable homotopy of any Γ-module F is the homology of a bicomplex Ξ(F), in which the (q−1)st row is the two-sided bar construction ℬ(Lie* q ,Σ q ,F[q]). This gives a natural homotopical cotangent bicomplex for graded commutative algebras, in a form suitable for use in a new obstruction theory for classifying E ∞ ring structures on spectra. The E ∞ structure on certain Lubin-Tate spectra is a corollary.
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Oblatum 15-X-2001 & 14-X-2002¶Published online: 24 February 2003
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Robinson, A. Gamma homology, Lie representations and E ∞ multiplications. Invent. math. 152, 331–348 (2003). https://doi.org/10.1007/s00222-002-0272-5
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DOI: https://doi.org/10.1007/s00222-002-0272-5