Fundamental Groups of Fat-graphs


Abstract


Let Γ be a fat-graph of genus g, with n faces. In this note, we describe a combinatorial algorithm, leading to a presentation of its fundamental group by 2g + n generators satisfying the surface relation.

DOI Code: 10.1285/i15900932v19n2p257

Keywords: Fat-graphs; Fundamental group

Classification: 05C10

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