Genre
Journal ArticleDate
2016-06-01Author
Taylor, SJZupan, A
Permanent link to this record
http://hdl.handle.net/20.500.12613/5729
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10.1142/S1793525316500096Abstract
© 2016 World Scientific Publishing Company. We show that for a surface ∑, the subgraph of the pants graph determined by fixing a collection of curves that cut ∑ into pairs of pants, once-punctured tori, and four-times-punctured spheres is totally geodesic. The main theorem resolves a special case of a conjecture made in [2] and has the implication that an embedded product of Farey graphs in any pants graph is totally geodesic. In addition, we show that a pants graph contains a convex n-flat if and only if it contains an n-quasi-flat.Citation to related work
World Scientific Pub Co Pte LtHas part
Journal of Topology and AnalysisADA compliance
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http://dx.doi.org/10.34944/dspace/5711