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arxiv: math/0012162 · v2 · submitted 2000-12-18 · 🧮 math.GT · math.GR

Stable commutator length of a Dehn twist

classification 🧮 math.GT math.GR
keywords dehntwistcommutatorlengthstableapplicationclassclosed
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It is proved that the stable commutator length of a Dehn twist in the mapping class group is positive and the tenth power of a Dehn twist about a nonseparating simple closed curve is a product of two commutators. As an application a new proof of the fact that the growth rate of a Dehn twist is linear is given.

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