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math.GT2002
Lengths of simple loops on surfaces with hyperbolic metrics
Feng Luo, Richard Stong
Given a compact orientable surface of negative Euler characteristic, there exists a natural pairing between the Teichmueuller space of the surface and the set of homotopy classes o…
math.GT2000
Cauchy Inequality and the Space of Measured Laminations
Feng Luo, Richard Stong
We establish a Cauchy type inequality for the geometric intersection number between two 1-dimensional submanifolds in a surface. Some of the basic results in Thurston's theory of m…