Earthquakes and Thurston's boundary for the Teichmüller space of the universal hyperbolic solenoid
| dc.creator | Saric, Dragomir | |
| dc.date | 2006-10-16 | |
| dc.date.accessioned | 2026-07-07T07:29:07Z | |
| dc.date.available | 2026-07-07T07:29:07Z | |
| dc.description | A measured laminations on the universal hyperbolic solenoid $§$ is, by our definition, a leafwise measured lamination with appropriate continuity for the transverse variations. An earthquakes on theuniversal hyperbolic solenoid $§$ is uniquely determined by a measured lamination on $§$; it is a leafwise earthquake with the leafwise earthquake measure equal to the leafwise measured lamination. Leafwise earthquakes fit together to produce a new hyperbolic metric on $§$ which is transversely continuous and we show that any two hyperbolic metrics on $§$ are connected by an earthquake. We also establish the space of projective measured lamination $PML(§)$ as a natural Thurston-type boundary to the Teichmüller space $T(§)$ of the universal hyperbolic solenoid $§$. The (baseleaf preserving) mapping class group $MCG_{BLP}(§)$ acts continuously on the closure $T(§)\cup PML(§)$ of $T(§)$. Moreover, the set of transversely locally constant measured laminations on $§$ is dense in $ML(§)$. | |
| dc.description | 19 pages | |
| dc.identifier | https://arxiv.org/abs/math/0610496 | |
| dc.identifier | http://arxiv.org/abs/math/0610496 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/117985 | |
| dc.subject | Complex Variables | |
| dc.subject | Geometric Topology | |
| dc.subject | 30F60 | |
| dc.title | Earthquakes and Thurston's boundary for the Teichmüller space of the universal hyperbolic solenoid | |
| dc.type | text |