E 2 -formality via obstruction theory

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This is a Quantitative Study study.

Geoffroy Horel

doi:10.5802/ahl.246

October 3, 2025Annales Henri LebesgueOpen Access

E 2 -formality via obstruction theory

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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.

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Implication

Research demonstrates e2-formality in differential graded algebras, implying significant outcomes for compact 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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Geoffroy Horel (2025) studied this question.

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

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E 2 -formality via obstruction theory

Key Points

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Implication

Abstract

Discussion

Cite This Study

E 2 -formality via obstruction theory

Key Points

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Implication

Abstract

Discussion

Cite This Study

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