Pants Decomposition Emojis & Text

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new fenchel–nielsen coordinates length-twist coordinates pants decomposition gluing map twist parameter geodesic length teichmüller space mapping class group

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new hyperbolic geometry Non-Euclidean Geometry negative curvature saddle point
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T𝓋(S)➡️(ℝ⁺×ℝ)ⁿ
new fenchel–nielsen coordinates teichmüller space moduli space hyperbolic structures coordinates on teichmüller dimension of teichmüller space length spectrum
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new fenchel–nielsen coordinates surface coordinates geodesic length ℓ twist parameter τ teichmüller parameters hyperbolic metric curve complex
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new algebraic curve algebraic surface riemann surface topology genus elliptic curve complex manifold
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new triangle group group parameters schwarz triangle hyperbolic geometry spherical geometry euclidean geometry integer parameters
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