Recognition: unknown
Beyond Expansion II: Low-Lying Fundamental Geodesics
classification
🧮 math.NT
math.DS
keywords
fundamentallow-lyinggeodesicsansweringbeyondclassclosedcorresponds
read the original abstract
A closed geodesic on the modular surface is "low-lying" if it does not travel "high" into the cusp. It is "fundamental" if it corresponds to an element in the class group of a real quadratic field. We prove the existence of infinitely many low-lying fundamental geodesics, answering a question of Einsiedler-Lindenstrauss-Michel-Venkatesh.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.