Monthly Archives: February 2015

Quasiconformal Maps

Ok, time to get back to Riemann surfaces! We’ve been all about hyperbolic surfaces, and so first let’s compare the two of them: every oriented hyperbolic surface is a Riemann surface, and the conformal class of a complex structure contains … Continue reading

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Quadratic Differentials

We’re going to get to quasi-conformal maps soon, but first, we’re going to want to build some new objects on our Riemann surfaces.  Differential forms are a fairly standard thing, and asserting that they’re holomorphic isn’t exactly a revolution.  On … Continue reading

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