Affine surfaces and their Veech groups
Geometric Topology
2016-11-15 v2 Dynamical Systems
Abstract
We introduce a class of objects which we call 'affine surfaces'. These provide families of foliations on surfaces whose dynamics we are interested in. We present and analyze a couple of examples, and we define concepts related to these in order to motivate several questions and open problems. In particular we generalise the notion of Veech group to affine surfaces, and we prove a structure result about these Veech groups.
Cite
@article{arxiv.1609.02130,
title = {Affine surfaces and their Veech groups},
author = {Eduard Duryev and Charles Fougeron and Selim Ghazouani},
journal= {arXiv preprint arXiv:1609.02130},
year = {2016}
}
Comments
24 pages, 22 figures