Etale cohomology, purity and formality with torsion coefficients
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2018
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| _version_ | 1866908477185589248 |
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| author | Cirici, Joana Horel, Geoffroy |
| author_facet | Cirici, Joana Horel, Geoffroy |
| contents | We use Galois group actions on étale cohomology to prove results of formality for dg-operads and dg-algebras with torsion coefficients. Our theory applies, among other related constructions, to the dg-operad of singular chains on the operad of little disks and to the dg-algebra of singular cochains on the configuration space of points in the complex space. The formality that we obtain is only up to a certain degree, which depends on the cardinality of the field of coefficients. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1806_03006 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | Etale cohomology, purity and formality with torsion coefficients Cirici, Joana Horel, Geoffroy Algebraic Topology We use Galois group actions on étale cohomology to prove results of formality for dg-operads and dg-algebras with torsion coefficients. Our theory applies, among other related constructions, to the dg-operad of singular chains on the operad of little disks and to the dg-algebra of singular cochains on the configuration space of points in the complex space. The formality that we obtain is only up to a certain degree, which depends on the cardinality of the field of coefficients. |
| title | Etale cohomology, purity and formality with torsion coefficients |
| topic | Algebraic Topology |
| url | https://arxiv.org/abs/1806.03006 |