Self orbit equivalences on the Anosov flows on Dehn surgeries on the figure-eight knot
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866911886592704512 |
|---|---|
| author | Yu, Bin |
| author_facet | Yu, Bin |
| contents | Let $M_k$ ($k\in \mathbb Z$ and $|k|>4$) be the $3$-manifold obtained by doing $k$ Dehn surgery on the figure-eight knot, and $X_t$ be the canonical Anosov flow on $M_k$ that is constructed by Goodman. The main result of this article is that if $|k|\gg 0$, then $Mod (M_k) \cong \mathbb {Z}_2 \oplus \mathbb {Z}_2$ and every element of the mapping class group of $M_k$ can be represented by a self orbit equivalence of $X_t$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_13177 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Self orbit equivalences on the Anosov flows on Dehn surgeries on the figure-eight knot Yu, Bin Dynamical Systems Let $M_k$ ($k\in \mathbb Z$ and $|k|>4$) be the $3$-manifold obtained by doing $k$ Dehn surgery on the figure-eight knot, and $X_t$ be the canonical Anosov flow on $M_k$ that is constructed by Goodman. The main result of this article is that if $|k|\gg 0$, then $Mod (M_k) \cong \mathbb {Z}_2 \oplus \mathbb {Z}_2$ and every element of the mapping class group of $M_k$ can be represented by a self orbit equivalence of $X_t$. |
| title | Self orbit equivalences on the Anosov flows on Dehn surgeries on the figure-eight knot |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2312.13177 |