Simplicial embeddings between multicurve graphs

Viveka Erlandsson; Federica Fanoni

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arXiv · 1510.07700

Simplicial embeddings between multicurve graphs

Viveka Erlandsson·Federica Fanoni

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Abstract

We study some graphs associated to a surface, called k-multicurve graphs, which interpolate between the curve complex and the pants graph. Our main result is that, under certain conditions, simplicial embeddings between multicurve graphs are induced by $π_1$-injective embeddings of the corresponding surfaces. We also prove the rigidity of the multicurve graphs.

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Viveka Erlandsson, Federica Fanoni. 2016-03-31. Simplicial embeddings between multicurve graphs. https://arxiv.org/abs/1510.07700

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