Holmstrom Generalized Andre-Quillen cohomology

Generalized Andre-Quillen cohomology

1. http://hopf.math.purdue.edu/cgi-bin/generate?/Blanc/quil

Title: Generalized Andre-Quillen Cohomology Author: David Blanc Address: Dept. of Mathematics, U. Haifa, Haifa, Israel

Abstract:

We explain how the approach of Andre and Quillen to defining cohomology and homology as suitable derived functors extends to generalized (co)homology theories, and how this identification may be used to study the relationship between them.

As a side benefit, we clarify exactly what assumptions on an (algebraic) category are needed in order for the approach of Beck and Andre-Quillen to work.

We also show how the description may be applied to construct universal coefficient and reverse Adams spectral sequences.

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Created on June 10, 2014 at 21:14:54 by Andreas Holmström