3 papers
math.CV2025
Intersection numbers between horizontal foliations of quadratic differentials
Dragomir Saric, Taro Shima
We establish that the intersection number between the horizontal foliations of any two finite-area holomorphic quadratic differentials on an arbitrary Riemann surface is finite. Ou…
math.GT2025
Bounded ideal triangulations of infinite Riemann surfaces
Casey Whitney, Dragomir Saric
We introduce a notion of a bounded ideal triangulation of an infinite Riemann surface and parametrize Teichmüller spaces of infinite surfaces which allow bounded triangulations. We…
math.GT2022
Quadratic differentials and foliations on infinite Riemann surfaces
Dragomir Šarić
We prove that an infinite Riemann surface is parabolic () if and only if the union of the horizontal trajectories of any integrable holomorphic quadratic differential…