On a problem of A. Weil
Geometric Topology
2018-11-02 v5 Number Theory
Abstract
A topological invariant of the geodesic laminations on a modular surface is constructed. The invariant has a continuous part (the tail of a continued fraction) and a combinatorial part (the singularity data). It is shown, that the invariant is complete, i.e. the geodesic lamination can be recovered from the invariant. The continuous part of the invariant has geometric meaning of a slope of lamination on the surface.
Cite
@article{arxiv.math/0403295,
title = {On a problem of A. Weil},
author = {Igor Nikolaev},
journal= {arXiv preprint arXiv:math/0403295},
year = {2018}
}
Comments
to appear Beitr\"age zur Algebra und Geometrie