Moduli spaces of 2-stage Postnikov systems

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• 作者：Martin Frankland^a ; ^{franklan@illinois.edu"" rel=""nofollow}
• 关键词：Realization ; Π ; -algebra ; Homotopy groups ; Quillen cohomology ; Classification ; k-Invariant
• 刊名：Topology and its Applications
• 出版年：2011
• 出版时间：1 July 2011
• 年：2011
• 卷：158
• 期：11
• 页码：1296-1306
• 全文大小：193 K

文摘

Using the obstruction theory of Blanc, Dwyer and Goerss, we compute the moduli space of realizations of 2-stage Π-algebras concentrated in dimensions 1 and n or in dimensions n and n+1. The main technical tools are Postnikov truncation and connected covers of Π-algebras, and their effect on Quillen cohomology.