Complex Projective Structures

dc.creatorDumas, David
dc.date2009-02-11
dc.date.accessioned2026-07-07T12:40:40Z
dc.date.available2026-07-07T12:40:40Z
dc.descriptionThis is a survey of the theory of complex projective (CP^1) structures on compact surfaces. After some preliminary discussion and definitions, we concentrate on three main topics: (1) Using the Schwarzian derivative to parameterize the moduli space (2) Thurston's parameterization of the moduli space using grafting (3) Holonomy representations of CP^1 structures We also discuss some results comparing the two parameterizations of the space of projective structures and relating these parameterizations to the holonomy map.
dc.description58 pages, 14 figures. To appear as a chapter in "Handbook of Teichmuller theory, volume II"
dc.identifierhttps://arxiv.org/abs/0902.1951
dc.identifierhttp://arxiv.org/abs/0902.1951
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/219512
dc.subjectDifferential Geometry
dc.titleComplex Projective Structures
dc.typetext

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