2024/07/23 by Horel, Geoffroy
#Algebraic Topology (math.AT) #FOS: Mathematics
paper · doi:10.48550/arxiv.2407.16236
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.