Geodesics on Flat Surfaces
Dynamical Systems
2014-04-07 v1 Geometric Topology
Abstract
This short survey illustrates the ideas of Teichmuller dynamics. As a model application we consider the asymptotic topology of generic geodesics on a "flat" surface and count closed geodesics and saddle connections. This survey is based on the joint papers with A.Eskin and H.Masur and with M.Kontsevich.
Cite
@article{arxiv.math/0609399,
title = {Geodesics on Flat Surfaces},
author = {Anton Zorich},
journal= {arXiv preprint arXiv:math/0609399},
year = {2014}
}
Comments
(25 pages, 5 figures) Based on the talk at ICM 2006 at Madrid; see Proceedings of the ICM, Madrid, Spain, 2006, EMS, 121-146 for the final version. For a more detailed survey see the paper "Flat Surfaces", arXiv.math.DS/0609392