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Splittings of surfaces

Splittings of surfaces

Let F be a compact 2-manifold without boundary and with Euler characteristic x{F) < 0. Only for convenience endow F with a fixed hyperbolic structure, i.e., a discrete, faithful representation of the fundamental group n x F into the space of isometries of hyperbolic 2-space.Teichmüller space, ^(F), is the space …