E2 formality via obstruction theory
Abstract
We attack the question of E2-formality of differential graded algebras over prime fields via obstruction theory. We are able to prove that E2-algebras whose cohomology ring is a polynomial algebra on even degree classes are intrinsically formal. As a consequence we prove E2-formality of the classifying space of some compact Lie group or of Davis-Januszkiewicz spaces.
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