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October 5, 2025Open Access

E 2 -formality via obstruction theory

Key Points

The study proves that e2-algebras with cohomology rings as polynomial algebras are formal.
It establishes e2-formality for the classifying spaces of compact Lie groups and Davis–Januszkiewicz spaces.
These findings expand the understanding of obstruction theory in the context of differential graded algebras.
This research contributes valuable insights into the topology and algebra of complex spaces and Lie groups.

Abstract

We attack the question of E 2 -formality of differential graded algebras over 𝔽 p via obstruction theory. We are able to prove that E 2 -algebras whose cohomology ring is a polynomial algebra on even degree classes are formal. As a consequence we prove E 2 -formality of the classifying space of some compact Lie groups or of Davis–Januszkiewicz spaces.

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Cite This Study

Geoffroy Horel (Fri,) studied this question.

synapsesocial.com/papers/68e24e60d6d66a53c247329a https://doi.org/https://doi.org/10.5802/ahl.246

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