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Uryson Width and Pants Decompositions of Hyperbolic Surfaces by Chambers, Gregory R. is a scholarly article available to read on EtoBox.

What is Uryson Width and Pants Decompositions of Hyperbolic Surfaces about?

Suppose that $M$ is a hyperbolic surface of genus $g$ and with $n$ cusps. Then we can find a pants decomposition of $M$ composed of simple closed geodesics so that each curve is contained in a ball of diameter at most $C\sqrt{g + n}$, where $C$ is a universal constant.

Author

Chambers, Gregory R.

Published

2022

Language

EN