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arxiv: 1606.08643 · v1 · pith:5JHFXQOXnew · submitted 2016-06-28 · 🧮 math.GT · math.GR

On stable commutator lengths of Dehn twists along separating curves

classification 🧮 math.GT math.GR
keywords alongboundscommutatorcurvesdehnlengthsseparatingstable
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We give new upper bounds on the stable commutator lengths of Dehn twists along separating curves in the mapping class group of a closed oriented surface. The estimates of these upper bounds are $O(1/g)$, where $g$ is the genus of the surface.

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