Weight structures and formality
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866911935132336128 |
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| author | Emprin, Coline Horel, Geoffroy |
| author_facet | Emprin, Coline Horel, Geoffroy |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_19142 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Weight structures and formality Emprin, Coline Horel, Geoffroy Algebraic Topology Algebraic Geometry 18M70, 18N40, 18N50, 18N60, 22E60, 55P62 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. |
| title | Weight structures and formality |
| topic | Algebraic Topology Algebraic Geometry 18M70, 18N40, 18N50, 18N60, 22E60, 55P62 |
| url | https://arxiv.org/abs/2406.19142 |