The complement of the Bowditch space in the SL(2,C) character variety
| dc.creator | Ng, Shawn Pheng Keong | |
| dc.creator | Tan, Ser Peow | |
| dc.date | 2006-03-17 | |
| dc.date.accessioned | 2026-07-07T08:44:19Z | |
| dc.date.available | 2026-07-07T08:44:19Z | |
| dc.description | Let ${\mathcal X}$ be the space of type-preserving $\SL(2,C)$ characters of the punctured torus $T$. The Bowditch space ${\mathcal X}_{BQ}$ is the largest open subset of ${\mathcal X}$ on which the mapping class group acts properly discontinuously, this is characterized by two simple conditions called the $BQ$-conditions. In this note, we show that $[ρ]$ is in the interior of the complement of ${\mathcal X}_{BQ}$ if there exists an essential simple closed curve $X$ on $T$ such that $|{\rm tr} ρ(X)|<0.5$. | |
| dc.description | 6 pages | |
| dc.identifier | https://arxiv.org/abs/math/0603418 | |
| dc.identifier | http://arxiv.org/abs/math/0603418 | |
| dc.identifier | Osaka J. Math. Volume 44, Number 2 (2007), 247-254 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/142619 | |
| dc.subject | Geometric Topology | |
| dc.subject | Complex Variables | |
| dc.subject | 57M50 | |
| dc.title | The complement of the Bowditch space in the SL(2,C) character variety | |
| dc.type | text |