Products of Positive Dehn-twists on Surfaces

Mathematics – Geometric Topology

Scientific paper

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Scientific paper

Given a 3-holed sphere decomposition of an orientable closed surface, it is
shown that each orientation preserving homeomorphism of the surface is isotopic
to a composition AB where A is a product of positive Dehn twists and B is a
product of negative Dehn twists on the decomposition curves.

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