Simplicial embeddings between pants graphs

2024/05/14 by Aramayona, Javier
#automorphisms #complexes #curves #injective homomorphisms #injective simplicial map #mapping class-groups #maps #orientable surface #pants graph #subgroups

paper · doi:10.13025/11204

Abstract

We prove that, except in some low-complexity cases, every locally injective simplicial map between pants graphs is induced by a pi (1)-injective embedding between the corresponding surfaces.

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• Large flats in the pants graph