Gamma homology, Lie representations and E∞ multiplications
成果类型：
Article
署名作者：
Robinson, A
署名单位：
University of Warwick
刊物名称：
INVENTIONES MATHEMATICAE
ISSN/ISSBN：
0020-9910
DOI：
10.1007/s00222-002-0272-5
发表日期：
2003
页码：
331-348
关键词：
摘要：
We prove that the stable homotopy of any Gamma-module F is the homology of a bicomplex Xi(F), in which the (q - 1)st row is the two-sided bar construction B(Lie(q)*, Sigma(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-infinity ring structures on spectra. The E-infinity structure on certain Lubin-Tate spectra is a corollary.