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Moduli spaces of 2-stage Postnikov systems

Published 2 Feb 2011 in math.AT | (1102.0334v3)

Abstract: Using the obstruction theory of Blanc-Dwyer-Goerss, we compute the moduli space of realizations of 2-stage Pi-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 Pi-algebras, and their effect on Quillen cohomology.

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