General t\^ete-\`a-t\^ete graphs and Seifert manifolds
Geometric Topology
2017-12-19 v1 General Topology
Abstract
T\^ete-\`a-t\^ete graphs and relative t\^ete-\`a-t\^ete graphs were introduced by N. A'Campo in 2010 to model monodromies of isolated plane curves. By recent workof Fdez de Bobadilla, Pe Pereira and the author, they provide a way of modeling the periodic mapping classes that leave some boundary component invariant. In this work we introduce the notion of general t\^ete-\`a-t\^ete graph and prove that they model all periodic mapping classes. We also describe algorithms that take a Seifert manifold and a horizontal surface and return a t\^ete-\`a-t\^ete graph and vice versa.
Cite
@article{arxiv.1712.05975,
title = {General t\^ete-\`a-t\^ete graphs and Seifert manifolds},
author = {Pablo Portilla Cuadrado},
journal= {arXiv preprint arXiv:1712.05975},
year = {2017}
}
Comments
22 pages, 20 figures. arXiv admin note: text overlap with arXiv:1706.05580