Codes for Square-Tiled Surfaces
Dynamical Systems
2012-07-17 v1
Abstract
In this paper, we use permutation elements to record cylinder decompositions of a square-tiled surface . Collecting all such possible permutation elements that record cylinder decompositions, we can enumerate the orbit of a given surface and give a method to determine whether or not a matrix is the differential of an affine diffeomorphism of .
Cite
@article{arxiv.1207.3493,
title = {Codes for Square-Tiled Surfaces},
author = {Kuo-Chiang Tan},
journal= {arXiv preprint arXiv:1207.3493},
year = {2012}
}