Factorizations of diffeomorphisms of compact surfaces with boundary

2010

Abstract

We study diffeomorphisms of compact, oriented surfaces, developing

methods of distinguishing those which have positive factorizations

into Dehn twists from those which satisfy the weaker condition of

right veering. We use these to construct open book decompositions of

Stein-fillable 3-manifolds whose monodromies have no positive

factorization.

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UC Berkeley