Geometry & Topology
- Geom. Topol.
- Volume 19, Number 5 (2015), 2407-2464.
Factorizations of diffeomorphisms of compact surfaces with boundary
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 –manifolds whose monodromies have no positive factorization.
Geom. Topol., Volume 19, Number 5 (2015), 2407-2464.
Received: 9 October 2009
Revised: 3 October 2012
Accepted: 5 January 2015
First available in Project Euclid: 16 November 2017
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Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 57R17: Symplectic and contact topology
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