2 papers
math.GT2019
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…
math.GT2018
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…