Stable commutator length of a Dehn twist

Details Stable commutator length of a Dehn twist Stable commutator length of a Dehn twist

2000-12-18

arxiv.org/abs/math/0012162v2

Mathematics

Geometric Topology

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Scientific paper

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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