通过阻塞理论实现 E2 形式化

arXiv - MATH - Algebraic Topology Pub Date : 2024-07-23 DOI:arxiv-2407.16236

Geoffroy Horel

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引用次数: 0

摘要

我们通过阻塞理论攻克了prime 域上微分级数代数的 E_2- 形式性问题。我们能够证明，同调环是偶数阶上多项式代数的 E_2- 格拉斯是本征形式的。因此，我们证明了某些紧凑李群或 Davis-Januszkiewicz 空间的分类空间的 E_2- 形式性。

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E2 formality via obstruction theory

We attack the question of E_2-formality of differential graded algebras over prime fields via obstruction theory. We are able to prove that E_2-algebras whose cohomology ring is a polynomial algebra on even degree classes are intrinsically formal. As a consequence we prove E_2-formality of the classifying space of some compact Lie group or of Davis-Januszkiewicz spaces.

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arXiv - MATH - Algebraic Topology

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