## Geometry & Topology

### Factorizations of diffeomorphisms of compact surfaces with boundary

Andy Wand

#### 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 being right-veering. We use these to construct open book decompositions of Stein-fillable $3$–manifolds whose monodromies have no positive factorization.

#### Article information

Source
Geom. Topol., Volume 19, Number 5 (2015), 2407-2464.

Dates
Revised: 3 October 2012
Accepted: 5 January 2015
First available in Project Euclid: 16 November 2017

https://projecteuclid.org/euclid.gt/1510858842

Digital Object Identifier
doi:10.2140/gt.2015.19.2407

Mathematical Reviews number (MathSciNet)
MR3416107

Zentralblatt MATH identifier
1330.57038

Subjects
Primary: 57R17: Symplectic and contact topology

#### Citation

Wand, Andy. Factorizations of diffeomorphisms of compact surfaces with boundary. Geom. Topol. 19 (2015), no. 5, 2407--2464. doi:10.2140/gt.2015.19.2407. https://projecteuclid.org/euclid.gt/1510858842

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