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Conformal weldings of random surfaces: SLE and the quantum gravity zipper
Conformal weldings of random surfaces: quantum gravity zipper
2011/2/24
We construct a conformal welding of two Liouville quantum gravity random surfaces and show that the interface between them is a random fractal curve called the Schramm-Loewner evolution (SLE), thereby...
Our goal is to show, in two different contexts, that "random" surfaces have large pants decompositions. First we show that there are hyperbolic surfaces of genus $g$ for which any pants decomposition...