Asymptotic behavior of quadratic differentials


ii Summary Every closed oriented surface S of genus g ≥ 2 can be endowed with a non-unique hyperbolic metric. By the celebrated Uniformization Theorem, hyperbolic and complex structures on S are in one-to-one correspondence. A question that arises is: Can we parametrize the complex structures in a nice way? This question brings us to Teichmüller theory… (More)


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