Stable curves and screens on fatgraphs

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dc.creatorPenner, R. C.
dc.creatorMcShane, Greg
dc.date2007-07-10
dc.date2007-07-10
dc.date.accessioned2026-07-07T08:14:53Z
dc.date.available2026-07-07T08:14:53Z
dc.descriptionThe mapping class group invariant ideal cell decomposition of the Teichmueller space of a punctured surface times an open simplex has been used in a number of computations. This paper answers a question about the asymptotics of this decomposition, namely, in a given cell of the decomposition, which curves can be short? Screens are a new combinatorial structure which provide an answer to this question. The heart of the calculation here involves Ptolemy transformations and the triangle inequalities on lambda lengths.
dc.description23 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/0707.1468
dc.identifierhttp://arxiv.org/abs/0707.1468
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/133289
dc.subjectGeometric Topology
dc.subjectAlgebraic Geometry
dc.subject32G15; 57M99; 14H10; 14G15; 57N05; 20F99
dc.titleStable curves and screens on fatgraphs
dc.typetext

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