On the Lego-Teichmuller game for finite $G$ cover
| dc.creator | Prince, Tanvir | |
| dc.date | 2007-12-18 | |
| dc.date.accessioned | 2026-07-07T08:50:02Z | |
| dc.date.available | 2026-07-07T08:50:02Z | |
| dc.description | Given a smooth, oriented, closed surface $Σ$ of genus zero, possibly with boundary, let $\tildeΣ \longrightarrow Σ$ be a given $G$-cover of $Σ$, where $G$ is a given finite group. Let $S_{n}$ denote the standard sphere with $n$ holes. There are many ways of gluing together several $G$-cover of $S_{n}$ to construct the $G$-cover $\ts \longrightarrow Σ$, of $Σ$. We let $M(\tildeΣ ,Σ)$ be the set of all ways to construct the given $G$-cover, $\tildeΣ \longrightarrow Σ$, of $Σ$ from gluing of several $G$-covers of $S_{n}$, here $n$ may vary. In this paper, we define some simple moves and relation which will turn $M(\tildeΣ ,Σ)$ into a connected and simply-connected complex. This will be used in the future paper to construct $G$-equivariant Modular Functor. This $G$-equivariant Modular Functor will be an extension of the usual Modular Functor. | |
| dc.description | 51 pages with 42 figures | |
| dc.identifier | https://arxiv.org/abs/0712.2853 | |
| dc.identifier | http://arxiv.org/abs/0712.2853 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/144481 | |
| dc.subject | Geometric Topology | |
| dc.subject | Representation Theory | |
| dc.title | On the Lego-Teichmuller game for finite $G$ cover | |
| dc.type | text |