Products of Positive Dehn-twists on Surfaces

1999/05/21 by Feng Luo, Luo, Feng
Mathematics · #FOS: Mathematics #Geometric Topology (math.GT) #Symplectic Geometry (math.SG) #math.GT #math.SG

paper · pdf · doi:10.48550/arxiv.math/9905139

arxiv created 1999/05/21 · arxiv updated 2009/11/30

Abstract

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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