Graphs of Quasicircles and Quasiconformal Homeomorphisms
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , |
|---|---|
| Format: | Preprint |
| Publié: |
2026
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866908766988926976 |
|---|---|
| author | Booth, Katherine Williams Nolte, Alexander Verberne, Yvon |
| author_facet | Booth, Katherine Williams Nolte, Alexander Verberne, Yvon |
| contents | We give a combinatorial characterization of the group of quasiconformal homeomorphisms of a closed, oriented surface $S$ of genus at least $2$. In particular, we prove they are exactly the automorphisms of a graph of essential quasicircles on $S$ that respect a canonical coarse ordering induced by quality constants. We also discuss the coarse geometry of this graph. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_09892 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Graphs of Quasicircles and Quasiconformal Homeomorphisms Booth, Katherine Williams Nolte, Alexander Verberne, Yvon Geometric Topology 57K20, 30C62, 20F65, 57M07 We give a combinatorial characterization of the group of quasiconformal homeomorphisms of a closed, oriented surface $S$ of genus at least $2$. In particular, we prove they are exactly the automorphisms of a graph of essential quasicircles on $S$ that respect a canonical coarse ordering induced by quality constants. We also discuss the coarse geometry of this graph. |
| title | Graphs of Quasicircles and Quasiconformal Homeomorphisms |
| topic | Geometric Topology 57K20, 30C62, 20F65, 57M07 |
| url | https://arxiv.org/abs/2601.09892 |