Polygons and non-starlikeness of Teichmuller spaces
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866914810164150272 |
|---|---|
| author | Krushkal, Samuel L. |
| author_facet | Krushkal, Samuel L. |
| contents | The problem of starlikeness of Teichmuller spaces in Bers' embedding was raised in 1974 and is solved (negatively) for Teichmuller spaces of sufficiently large dimensions.
The original proof given by the author relies on the existence of conformally rigid domains established by Thurston. Later the author found another proof of non-starlikeness of universal Teichmuller space based on geometric features of rectilinear polygons.
This paper provides a complete solution of the problem for Teichmuller spaces $T(g,0)$ of closed Riemann surfaces of genus $g \ge 2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_15527 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Polygons and non-starlikeness of Teichmuller spaces Krushkal, Samuel L. Complex Variables The problem of starlikeness of Teichmuller spaces in Bers' embedding was raised in 1974 and is solved (negatively) for Teichmuller spaces of sufficiently large dimensions. The original proof given by the author relies on the existence of conformally rigid domains established by Thurston. Later the author found another proof of non-starlikeness of universal Teichmuller space based on geometric features of rectilinear polygons. This paper provides a complete solution of the problem for Teichmuller spaces $T(g,0)$ of closed Riemann surfaces of genus $g \ge 2$. |
| title | Polygons and non-starlikeness of Teichmuller spaces |
| topic | Complex Variables |
| url | https://arxiv.org/abs/2405.15527 |