On the formality of the little disks operad in positive characteristic
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2019
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| Acceso en línea: | |
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| _version_ | 1866913751725244416 |
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| author | de Brito, Pedro Boavida Horel, Geoffroy |
| author_facet | de Brito, Pedro Boavida Horel, Geoffroy |
| contents | Using a variant of the Boardman-Vogt tensor product, we construct an action of the Grothendieck-Teichmüller group on the completion of the little n-disks operad $E_n$. This action is used to establish a partial formality theorem for $E_n$ with mod $p$ coefficients and to give a new proof of the formality theorem in characteristic zero. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1903_09191 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | On the formality of the little disks operad in positive characteristic de Brito, Pedro Boavida Horel, Geoffroy Algebraic Topology Quantum Algebra Using a variant of the Boardman-Vogt tensor product, we construct an action of the Grothendieck-Teichmüller group on the completion of the little n-disks operad $E_n$. This action is used to establish a partial formality theorem for $E_n$ with mod $p$ coefficients and to give a new proof of the formality theorem in characteristic zero. |
| title | On the formality of the little disks operad in positive characteristic |
| topic | Algebraic Topology Quantum Algebra |
| url | https://arxiv.org/abs/1903.09191 |