Geometric structures on orbifolds and holonomy representations

Cited 13 time in webofscience Cited 0 time in scopus
  • Hit : 529
  • Download : 2
An orbifold is a topological space modeled on quotient spaces of a finite group actions. We can de. ne 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 Sigma is locally homeomorphic to the space of representations of the orbifold fundamental group of Sigma to G following the work of Thurston, Morgan, and Lok. This implies that the deformation space of (G, X)-structures on Sigma is locally homeomorphic to the character variety of representations of the orbifold fundamental group to G when restricted to the region of proper conjugation action by G.
Publisher
SPRINGER
Issue Date
2004-03
Language
English
Article Type
Article
Citation

GEOMETRIAE DEDICATA, v.104, no.1, pp.161 - 199

ISSN
0046-5755
DOI
10.1023/B:GEOM.0000022859.74165.44
URI
http://hdl.handle.net/10203/7627
Appears in Collection
MA-Journal Papers(저널논문)
Files in This Item
This item is cited by other documents in WoS
⊙ Detail Information in WoSⓡ Click to see webofscience_button
⊙ Cited 13 items in WoS Click to see citing articles in records_button

qr_code

  • mendeley

    citeulike


rss_1.0 rss_2.0 atom_1.0