On the quotient of a groupoid by an action of a 2-group
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909683705446400 |
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| author | Drinfeld, Vladimir |
| author_facet | Drinfeld, Vladimir |
| contents | If X is a groupoid equipped with an action of a 2-group G then one has a 2-groupoid X/G. We describe the fibers of the functor from X/G to the 1-groupoid $π_0(X)/π_0(G)$. We also give an explicit model for X/G in a certain situation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_21764 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the quotient of a groupoid by an action of a 2-group Drinfeld, Vladimir Category Theory Algebraic Geometry Number Theory If X is a groupoid equipped with an action of a 2-group G then one has a 2-groupoid X/G. We describe the fibers of the functor from X/G to the 1-groupoid $π_0(X)/π_0(G)$. We also give an explicit model for X/G in a certain situation. |
| title | On the quotient of a groupoid by an action of a 2-group |
| topic | Category Theory Algebraic Geometry Number Theory |
| url | https://arxiv.org/abs/2504.21764 |