Factorizations of diffeomorphisms of compact surfaces with boundary

Details Factorizations of diffeomorphisms of compact surfaces with boundary Factorizations of diffeomorphisms of compact surfaces with boundary

2009-10-29

arxiv.org/abs/0910.5691v3

Mathematics

Geometric Topology

Main results unchanged. Notation and terminology somewhat reworked, various changes made for overall cohesion. Exposition rewo

Scientific paper

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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