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arXiv · 2406.19142

Weight structures and formality

Coline Emprin·Geoffroy Horel
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Abstract

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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Coline Emprin, Geoffroy Horel. 2024-06-27. Weight structures and formality. https://arxiv.org/abs/2406.19142

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