Affine equivalence and saddle connection graphs of half-translation surfaces
Geometric Topology
2020-08-18 v3 Complex Variables
Abstract
To every half-translation surface, we associate a saddle connection graph, which is a subgraph of the arc graph. We prove that every isomorphism between two saddle connection graphs is induced by an affine homeomorphism between the underlying half-translation surfaces. We also investigate the automorphism group of the saddle connection graph, and the corresponding quotient graph.
Keywords
Cite
@article{arxiv.1809.06248,
title = {Affine equivalence and saddle connection graphs of half-translation surfaces},
author = {Huiping Pan},
journal= {arXiv preprint arXiv:1809.06248},
year = {2020}
}
Comments
39 pages, 10 figures. Minor changes. Final version