Stable curves and screens on fatgraphs
| Autor: | Penner, R. C., McShane, Greg |
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| Rok vydání: | 2007 |
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| Druh dokumentu: | Working Paper |
| Popis: | The 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. Comment: 23 pages, 4 figures |
| Databáze: | arXiv |
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