Simplicial embeddings between multicurve graphs
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 π1-injective embeddings of the corresponding sur...
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| Main Authors: | , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
9 June 2017
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| In: |
Michigan mathematical journal
Year: 2017, Volume: 66, Issue: 3, Pages: 549-567 |
| ISSN: | 1945-2365 |
| DOI: | 10.1307/mmj/1496995339 |
| Online Access: | Verlag, Volltext: http://dx.doi.org/10.1307/mmj/1496995339
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| Author Notes: | Viveka Erlandsson and Federica Fanoni |
| Summary: | 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 π1-injective embeddings of the corresponding surfaces. We also prove the rigidity of the multicurve graphs. |
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| Item Description: | Gesehen am 16.03.2018 |
| Physical Description: | Online Resource |
| ISSN: | 1945-2365 |
| DOI: | 10.1307/mmj/1496995339 |