Moduli spaces of 2-stage Postnikov systems

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.

Version 3: Added conventions in section 1.3. Minor changes

References in corpus (5)

• On realizing diagrams of Pi-algebras
• The Steenrod problem of realizing polynomial cohomology rings
• Behavior of Quillen (co)homology with respect to adjunctions
• Secondary homotopy groups
• Can one classify finite Postnikov pieces?

Cited by in corpus (1)

• The realizability of operations on homotopy groups concentrated in two degrees