Thurston norms of tunnel number-one manifolds
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2018
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| _version_ | 1866911791024439296 |
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| author | Pacheco-Tallaj, Natalia Schreve, Kevin Vlamis, Nicholas G. |
| author_facet | Pacheco-Tallaj, Natalia Schreve, Kevin Vlamis, Nicholas G. |
| contents | The Thurston norm of a 3-manifold measures the complexity of surfaces representing two-dimensional homology classes. We study the possible unit balls of Thurston norms of 3-manifolds $M$ with $b_1(M) = 2$, and whose fundamental groups admit presentations with two generators and one relator. We show that even among this special class, there are 3-manifolds such that the unit ball of the Thurston norm has arbitrarily many faces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1803_05097 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | Thurston norms of tunnel number-one manifolds Pacheco-Tallaj, Natalia Schreve, Kevin Vlamis, Nicholas G. Geometric Topology The Thurston norm of a 3-manifold measures the complexity of surfaces representing two-dimensional homology classes. We study the possible unit balls of Thurston norms of 3-manifolds $M$ with $b_1(M) = 2$, and whose fundamental groups admit presentations with two generators and one relator. We show that even among this special class, there are 3-manifolds such that the unit ball of the Thurston norm has arbitrarily many faces. |
| title | Thurston norms of tunnel number-one manifolds |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/1803.05097 |