On aspherical configuration Lie groupoids
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866917761852112896 |
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| author | Roushon, S K |
| author_facet | Roushon, S K |
| contents | The complement of the hyperplanes $\{x_i=x_j\}$, for all $i\neq j$ in $M^n$, for $M$ an aspherical $2$-manifold, is known to be aspherical. Here we consider the situation, when $M$ is a $2$-dimensional orbifold. We prove this complement to be aspherical for a class of aspherical $2$-dimensional orbifolds, and predict that it should be true in general also. We generalize this question in the category of Lie groupoids, as orbifolds can be identified with a certain kind of Lie groupoids. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_12198 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On aspherical configuration Lie groupoids Roushon, S K Algebraic Topology Geometric Topology Primary: 22A22, 55P20, 55R80, Secondary: 57R18 The complement of the hyperplanes $\{x_i=x_j\}$, for all $i\neq j$ in $M^n$, for $M$ an aspherical $2$-manifold, is known to be aspherical. Here we consider the situation, when $M$ is a $2$-dimensional orbifold. We prove this complement to be aspherical for a class of aspherical $2$-dimensional orbifolds, and predict that it should be true in general also. We generalize this question in the category of Lie groupoids, as orbifolds can be identified with a certain kind of Lie groupoids. |
| title | On aspherical configuration Lie groupoids |
| topic | Algebraic Topology Geometric Topology Primary: 22A22, 55P20, 55R80, Secondary: 57R18 |
| url | https://arxiv.org/abs/2309.12198 |