Deciding when two curves are of the same type
Given two closed curves in a surface, we propose an algorithm to detect whether they are of the same type or not.
math.GT↗
arXiv subjects
Thi Hanh Vo
Publications and source records attributed to Thi Hanh Vo.
Short closed geodesics on cusped hyperbolic surfaces
This article deals with the set of closed geodesics on complete finite type hyperbolic surfaces. For any non-negative integer $k$, we consider the set of closed geodesics that self-intersect at least $k$ times, and investigate those of minimal length. The main result is that, if the surface has at least one cusp, their self-intersection numbers are exactly $k$ for large enough $k$.
math.GT↗