Constructing convex planes in the pants complex

dc.contributor.author	Aramayona, Javier
dc.contributor.author	Parlier, Hugo
dc.contributor.author	Shackleton, Kenneth J.
dc.date.accessioned	2018-09-20T15:59:58Z
dc.date.available	2018-09-20T15:59:58Z
dc.date.issued	2009-10-01
dc.identifier.citation	Aramayona, Javier; Parlier, Hugo; Shackleton, Kenneth J. (2009). Constructing convex planes in the pants complex. Proceedings of the American Mathematical Society 137 (10), 3523-3531
dc.identifier.issn	0002-9939
dc.identifier.uri	http://hdl.handle.net/10379/10274
dc.description.abstract	Our main theorem identifies a class of totally geodesic subgraphs of the 1-skeleton of the pants complex, referred to as the pants graph, each isomorphic to the product of two Farey graphs. We deduce the existence of many convex planes in the pants graph of any surface of complexity at least 3.
dc.publisher	American Mathematical Society (AMS)
dc.relation.ispartof	Proceedings of the American Mathematical Society
dc.rights	Attribution-NonCommercial-NoDerivs 3.0 Ireland
dc.rights.uri	https://creativecommons.org/licenses/by-nc-nd/3.0/ie/
dc.subject	pants complex
dc.subject	weil-petersson metric
dc.subject	teichmuller space
dc.subject	geometry
dc.title	Constructing convex planes in the pants complex
dc.type	Article
dc.identifier.doi	10.1090/s0002-9939-09-09907-9
dc.local.publishedsource	http://www.ams.org/proc/2009-137-10/S0002-9939-09-09907-9/S0002-9939-09-09907-9.pdf
nui.item.downloads	0

Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivs 3.0 Ireland