Gamma homology, Lie representations and E₈ multiplications

详细信息    查看全文

• 作者：Alan Robinson
• 关键词：Mathematical Subject Classification (1991) ; 55P43 (13D03 ; 18G60)
• 刊名：Inventiones Mathematicae
• 出版年：2003
• 出版时间：May 2003
• 年：2003
• 卷：152
• 期：2
• 页码：331-348
• 全文大小：329 KB

文摘

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.