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arXiv:0807.1876 [math.GT]AbstractReferencesReviewsResources

Teichmuller geometry of moduli space, II: M(S) seen from far away

Benson Farb, Howard Masur

Published 2008-07-11, updated 2014-06-29Version 2

We construct a metric simplicial complex which is an almost isometric model of the moduli space M(S) of Riemann surfaces. We then use this model to compute the "tangent cone at infinity" of M(S): it is the topological cone on the quotient of the complex of curves C(S) by the mapping class group of S, endowed with an explicitly described metric. The main ingredient is Minsky's product regions theorem.

Comments: 9 pages, 1 figure. Replaced old (2008) version with 2009 version (which corrects and clarifies a few minor points)
Journal: Contemp. Math., 510, pp. 71--79 (2010)
Categories: math.GT, math.CV
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