1 citations · 2 across the 4 of their papers we have counts for
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Cylinder curves in finite holonomy flat metrics
Ser-Wei Fu, Christopher J Leininger
For an orientable surface of finite type equipped with a flat metric with holonomy of finite order q, the set of maximal embedded cylinders can be empty, non-empty, finite, or infi…
Flat grafting deformations of quadratic differentials on surfaces
Ser-Wei Fu
In this paper we introduce flat grafting as a deformation of quadratic differentials on a surface of finite type that is analogous to the grafting map on hyperbolic surfaces. Flat…
Cusp excursions for the earthquake flow on the once-punctured torus
Ser-Wei Fu
In this paper we study the typical speed of a generic earthquake trajectory leaving compact sets in the moduli space of the once-punctured torus. Mirzakhani showed that the earthqu…
Length spectra and strata of flat metrics
Ser-Wei Fu
In this paper we consider strata of flat metrics coming from quadratic differentials (semi-translation structures) on surfaces of finite type. We provide a necessary and sufficient…