Inextremization and Boundedness on Open Riemann Surfaces.
Mitsuru Nakai, Moses Glasner (1979)
Mathematische Zeitschrift
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Inextremization and Boundedness on Open Riemann Surfaces.
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Riemann surfaces with boundary and natural triangulations of the Teichmüller space
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We compare some natural triangulations of the Teichmüller space of hyperbolic surfaces with geodesic boundary and of some bordifications. We adapt Scannell–Wolf’s proof to show that grafting semi-infinite cylinders at the ends of hyperbolic surfaces with fixed boundary lengths is a homeomorphism. This way, we construct a family of equivariant triangulations of the Teichmüller space of punctured surfaces that interpolates between Bowditch–Epstein–Penner’s (using the spine construction)...
A Symbolic Dynamics for Geodesics on Punctured Riemann Surfaces.
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