Stable curves and screens on fatgraphs - Mathematics > Geometric TopologyReport as inadecuate




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Abstract: The mapping class group invariant ideal cell decomposition of theTeichmueller space of a punctured surface times an open simplex has been usedin a number of computations. This paper answers a question about theasymptotics of this decomposition, namely, in a given cell of thedecomposition, which curves can be short? Screens are a new combinatorialstructure which provide an answer to this question. The heart of thecalculation here involves Ptolemy transformations and the triangle inequalitieson lambda lengths.



Author: R. C. Penner, Greg McShane

Source: https://arxiv.org/







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