Geometry & Topology

Factorizations of diffeomorphisms of compact surfaces with boundary

Andy Wand

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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
Received: 9 October 2009
Revised: 3 October 2012
Accepted: 5 January 2015
First available in Project Euclid: 16 November 2017

Permanent link to this document
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

Keywords
contact structures open book decompositions mapping class groups Stein fillings

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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