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math.GT2020★ 2 cited
Genus 2 Cantor sets
Alastair N. Fletcher, Daniel Stoertz
We construct a geometrically self-similar Cantor set of genus in . This construction is the first for which the local genus is shown to be at every point…
math.GT2012
The Moduli space of Riemann Surfaces of Large Genus
Alastair Fletcher, Jeremy Kahn, Vladimir Markovic
Let be the -thick part of the moduli space of closed genus surfaces. In this article, we show that the number of balls of radius need…