Thurston spine in a Teichmüller curve
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866909813333557248 |
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| author | Gao, Yue Wang, Zhongzi |
| author_facet | Gao, Yue Wang, Zhongzi |
| contents | To study the Thurston spine $\mathcal{P}_g \subseteq \mathcal{T}_g$, we construct a Teichmüller curve $V \subseteq \mathcal{T}_g$. Then we characterize $V \cap \mathcal{P}_g$. More specifically, we show it is a trivalent tree and is an equivariant deformation retract of $V$. Moreover, by our construction, a lot of essential loops in the Thurston spine, both reducible and pseudo-Anosov, are obtained. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_24141 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Thurston spine in a Teichmüller curve Gao, Yue Wang, Zhongzi Geometric Topology To study the Thurston spine $\mathcal{P}_g \subseteq \mathcal{T}_g$, we construct a Teichmüller curve $V \subseteq \mathcal{T}_g$. Then we characterize $V \cap \mathcal{P}_g$. More specifically, we show it is a trivalent tree and is an equivariant deformation retract of $V$. Moreover, by our construction, a lot of essential loops in the Thurston spine, both reducible and pseudo-Anosov, are obtained. |
| title | Thurston spine in a Teichmüller curve |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2509.24141 |