On a problem of A. Weil
几何拓扑
2018-11-02 v5 数论
摘要
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.
引用
@article{arxiv.math/0403295,
title = {On a problem of A. Weil},
author = {Igor Nikolaev},
journal= {arXiv preprint arXiv:math/0403295},
year = {2018}
}
备注
to appear Beitr\"age zur Algebra und Geometrie