Inventiones mathematicae

, Volume 119, Issue 1, pp 243–265 | Cite as

On monodromy of complex projective structures

  • Michael Kapovich


We prove that for any nonelementary representation ρ : π1(S → SL (2, ℂ)) of the fundamental group of a closed orientable hyperbolic surfaceS there exists a complex projective structure onS with the monodromy ϱ.


Fundamental Group Projective Structure Hyperbolic surfaceS Complex Projective Structure Orientable Hyperbolic surfaceS 
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Copyright information

© Springer-Verlag 1995

Authors and Affiliations

  • Michael Kapovich
    • 1
  1. 1.Department of MathematicsUniversity of UtahSalt Lake CityUSA

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