Simplicial embeddings of multicurve graphs

Viveka Erlandsson, Federica Fanoni

Research output: Contribution to journalArticle (Academic Journal)peer-review

174 Downloads (Pure)

Abstract

We study some graphs associated to a surface, called kmulticurve 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 π1injective embeddings of the corresponding surfaces. We also prove the rigidity of the multicurve graphs.
Original languageEnglish
Pages (from-to)549-567
Number of pages19
JournalMichigan Mathematical Journal
Volume66
Issue number3
DOIs
Publication statusPublished - 9 Jun 2017

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