Topological Andre-Quillen cohomology and E∞ Andre-Quillen cohomology

被引：16

作者：

Mandell, MA ^{[1
]}

机构：

[1] Univ Chicago, Dept Math, Chicago, IL 60637 USA

来源：

ADVANCES IN MATHEMATICS | 2003年 / 177卷 / 02期

关键词：

Andre-Quillen cohomology; E infinity ring spectrum; HOMOTOPY-THEORY; ALGEBRAS;

D O I：

10.1016/S0001-8708(02)00017-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the Andre-Quillen cohomology of an E-infinity simplicial algebra with arbitrary coefficients and the topological Andre-Quillen cohomology of an E-infinity ring spectrum with Eilenberg-Mac Lane coefficients may be calculated as the Andre-Quillen cohomology of an associated E-infinity differential graded algebra. (C) 2003 Elsevier Science (USA). All rights reserved.

引用

页码：227 / 279

页数：53

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