Permanent link to this recordhttp://hdl.handle.net/20.500.12613/5729
MetadataShow full item record
Abstract© 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  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 workWorld Scientific Pub Co Pte Lt
Has partJournal of Topology and Analysis
ADA complianceFor Americans with Disabilities Act (ADA) accommodation, including help with reading this content, please contact email@example.com