Geometric structures on orbifolds and holonomy representations
| dc.creator | Choi, Suhyoung | |
| dc.date | 2001-07-24 | |
| dc.date | 2003-07-29 | |
| dc.date.accessioned | 2026-07-07T04:42:42Z | |
| dc.date.available | 2026-07-07T04:42:42Z | |
| dc.description | An orbifold is a topological space modeled on quotient spaces of a finite group actions. We can define the universal cover of an orbifold and the fundamental group as the deck transformation group. Let $G$ be a Lie group acting on a space $X$. We show that the space of isotopy-equivalence classes of $(G,X)$-structures on a compact orbifold $Σ$ is locally homeomorphic to the space of representations of the orbifold fundamental group of $Σ$ to $G$ following the work of Thurston, Morgan, and Lok. This implies that the deformation space of $(G, X)$-structures on $Σ$ is locally homeomorphic to the space of representations of the orbifold fundamental group to $G$ when restricted to the region of proper conjugation action by $G$. | |
| dc.description | 35 pages | |
| dc.identifier | https://arxiv.org/abs/math/0107172 | |
| dc.identifier | http://arxiv.org/abs/math/0107172 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61895 | |
| dc.subject | Geometric Topology | |
| dc.subject | Group Theory | |
| dc.subject | Rings and Algebras | |
| dc.subject | 57M50; 53A20; 53C15 | |
| dc.title | Geometric structures on orbifolds and holonomy representations | |
| dc.type | text |