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gptkbp:instanceOf
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gptkb:Euclidean_space
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gptkbp:describes
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deformation space of complex structures
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gptkbp:dimensions
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6g-6 for genus g > 1
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gptkbp:field
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gptkb:mathematics
gptkb:topology
complex analysis
differential geometry
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gptkbp:hasComplexDimension
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3g-3 for genus g > 1
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gptkbp:heldBy
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gptkb:Hausdorff
Kähler manifold
connected
finite-dimensional
locally compact
metrizable
second-countable
separable
simply connected
non-compact
contractible
real analytic manifold
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|
https://www.w3.org/2000/01/rdf-schema#label
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Teichmüller space
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gptkbp:includesMetric
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gptkb:Weil–Petersson_metric
gptkb:Teichmüller_metric
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gptkbp:isomorphicTo
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open ball in Euclidean space
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gptkbp:isQuotientOf
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mapping class group
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gptkbp:namedAfter
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gptkb:Oswald_Teichmüller
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gptkbp:parameter
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marked Riemann surfaces
marked conformal structures
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gptkbp:relatedTo
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gptkb:Riemannian_manifold
gptkb:Fuchsian_groups
gptkb:moduli_space_of_Riemann_surfaces
moduli space
complex structure
mapping class group
hyperbolic structure
quasiconformal maps
|
|
gptkbp:structure
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real structure
complex structure
symplectic structure
|
|
gptkbp:studiedBy
|
gptkb:Lars_Ahlfors
gptkb:Oswald_Teichmüller
gptkb:Lipman_Bers
gptkb:William_Thurston
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gptkbp:universalCover
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gptkb:moduli_space_of_Riemann_surfaces
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gptkbp:usedIn
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gptkb:hyperbolic_geometry
gptkb:string_theory
low-dimensional topology
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gptkbp:bfsParent
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gptkb:Teichmüller_theory
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gptkbp:bfsLayer
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5
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