重量结构和形式

arXiv - MATH - Algebraic Topology Pub Date : 2024-06-27 DOI:arxiv-2406.19142

Coline Emprin, Geoffroy Horel

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引用次数: 0

摘要

这是对依赖于权重结构的形式化结果的研究。权重结构是某些微分级数布拉上自然出现的级数。代数几何为我们提供了这样的权重结构，因为代数变体的同调倾向于呈现额外的结构，包括霍德结构或伽罗瓦作用。

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Weight structures and formality

This is a survey on formality results relying on weight structures. A weight structure is a naturally occurring grading on certain differential graded algebras. If this weight satisfies a purity property, one can deduce formality. Algebraic geometry provides us with such weight structures as the cohomology of algebraic varieties tends to present additional structures including a Hodge structure or a Galois action.

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arXiv - MATH - Algebraic Topology

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