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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…
math.GT2000
Torsion Elements in the Mapping Class Group of a Surface
Feng Luo
Given a finite set of points in a closed surface of genus , we consider the torsion elements in the mapping class group of the surface leaving the finite set invariant. We s…