A lower bound for the volumes of modular link complements
Abstract
Every finite collection of oriented closed geodesics in the modular surface has a canonically associated link in its unit tangent bundle coming from the periodic orbits of the geodesic flow. We study the volume of the associated link complement with respect to its unique complete hyperbolic metric. We provide the first lower volume bound that is linear in terms of the number of distinct exponents in the code words corresponding to the collection of closed geodesics.
Fields of Study & Subjects
Nanocluster Synthesis and Applications
Geometric and Algebraic Topology
Advanced Operator Algebra Research
Publication details
- Journal / source
- International Journal of Mathematics
- Publisher
- World Scientific Pub Co Pte Ltd
- Volume
- 37
- Issue
- 08
- Publication date
- 6 April 2026
- Language
- EN