Teichmuller theory of the punctured solenoid
| dc.creator | Penner, R. C. | |
| dc.creator | Saric, Dragomir | |
| dc.date | 2005-08-24 | |
| dc.date.accessioned | 2026-07-07T05:22:40Z | |
| dc.date.available | 2026-07-07T05:22:40Z | |
| dc.description | The punctured solenoid $§$ is an initial object for the category of punctured surfaces with morphisms given by finite covers branched only over the punctures. The (decorated) Teichmüller space of $§$ is introduced, studied, and found to be parametrized by certain coordinates on a fixed triangulation of $§$. Furthermore, a point in the decorated Teichmüller space induces a polygonal decomposition of $§$ giving a combinatorial description of its decorated Teichmüller space itself. This is used to obtain a non-trivial set of generators of the modular group of $§$, which is presumably the main result of this paper. Moreover, each word in these generators admits a normal form, and the natural equivalence relation on normal forms is described. There is furthermore a non-degenerate modular group invariant two form on the Teichmüller space of $§$. All of this structure is in perfect analogy with that of the decorated Teichmüller space of a punctured surface of finite type. | |
| dc.description | 28 pages, 2 pictures | |
| dc.identifier | https://arxiv.org/abs/math/0508476 | |
| dc.identifier | http://arxiv.org/abs/math/0508476 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76148 | |
| dc.subject | Dynamical Systems | |
| dc.subject | Geometric Topology | |
| dc.subject | 32G15 | |
| dc.title | Teichmuller theory of the punctured solenoid | |
| dc.type | text |