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By Schaller P. S.

Geometric And practical AnalysisVolume eleven, number one 2001 г.

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Lochak, L. Schneps, On the Teichm¨ uller tower of mapping class groups, J. Reine Angew. Math. 521 (2000), 1–24. [HatT] A. Hatcher, W. Thurston, A presentation of the mapping class group of a closed orientable surface, Topology 19 (1980), 221–239. V. Ivanov, Complexes of curves and the Teichm¨ uller modular group, Uspekhi Mat. Nauk 42 (1987), 43–91; English transl. Russian Math. Surveys 42 (1987), 55–107. P. Kerckhoff, The Nielsen realization problem, Ann. of Math. 117 (1983), 235–265. P. Kerckhoff, Lines of minima in Teichm¨ uller space, Duke Math.

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S. Birman, Braids, Links, and Mapping Class Groups, Ann. of Math. Studies 82, Princeton University Press (1974). M. -F. Bo uli spaces of Riemann surfaces, Contemp. Math. 150, Amer. Math. Soc. (1993). H. A. Epstein, Natural triangulations associated to a surface, Topology 27 (1988), 91–117. [BuS] P. -D. Semmler, The geometry and spectrum of the one holed torus, Comment. Math. Helv. 63 (1988), 259–274. S. Cassels, An Introduction to Diophantine Approximation, Cambridge University Press (1959). -L.

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A cell decomposition of Teichmuller space based on geodesic length functions by Schaller P. S.

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