Closed Teichmueller geodesics in the thin part of moduli space

Mathematics – Group Theory

Scientific paper

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Material reorganized. Section 3 now contained in arXiv:math/0510116 (published version). Section 4 moved to arXiv:0912.0137

Scientific paper

Let S be an oriented surface of genus g with m punctures. If 3g-3+m is at
least 4 then we construct for every compact subset K of moduli space a closed
Teichmueller geodesic not intersecting K.

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