Hyperbolic surfaces with sublinearly many systoles that fill

• Main Author: Bourque, Maxime Fortier
• Format: Journal Article
• Language: English
• Published: 03.04.2019
• Subjects: Mathematics - Geometric Topology

For any $\varepsilon>0$, we construct a closed hyperbolic surface of genus $g=g(\varepsilon)$ with a set of at most $\varepsilon g$ systoles that fill, meaning that each component of the complement of their union is contractible. This surface is also a critical point of index at most $\varepsilon...