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Affine equivalence and saddle connection graphs of translation surfaces. (arXiv:1809.06248v1 [math.GT])

来源于:arXiv
To every 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 translation surfaces. We also investigate the automorphism group of the saddle connection graph, and the corresponding quotient graph. 查看全文>>