Holed cone structures on 3-manifolds
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866909633427275776 |
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| author | Yoshida, Ken'ichi |
| author_facet | Yoshida, Ken'ichi |
| contents | We introduce holed cone structures on 3-manifolds to generalize cone structures. In the same way as a cone structure, a holed cone structure induces the holonomy representation. We consider the deformation space consisting of the holed cone structures on a 3-manifold whose holonomy representations are irreducible. This deformation space for positive cone angles is a covering space on a reasonable subspace of the character variety. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_14765 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Holed cone structures on 3-manifolds Yoshida, Ken'ichi Geometric Topology 57M50 (Primary) 57K31, 57K32 (Secondary) We introduce holed cone structures on 3-manifolds to generalize cone structures. In the same way as a cone structure, a holed cone structure induces the holonomy representation. We consider the deformation space consisting of the holed cone structures on a 3-manifold whose holonomy representations are irreducible. This deformation space for positive cone angles is a covering space on a reasonable subspace of the character variety. |
| title | Holed cone structures on 3-manifolds |
| topic | Geometric Topology 57M50 (Primary) 57K31, 57K32 (Secondary) |
| url | https://arxiv.org/abs/2210.14765 |