Factorizations of diffeomorphisms of compact surfaces with boundary

Wand, A. (2015) Factorizations of diffeomorphisms of compact surfaces with boundary. Geometry and Topology, 19(5), pp. 2407-2464. (doi:10.2140/gt.2015.19.2407)

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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 33–manifolds whose monodromies have no positive factorization.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Wand, Dr Andy
Authors: Wand, A.
College/School:College of Science and Engineering > School of Mathematics and Statistics
Journal Name:Geometry and Topology
Publisher:Mathematical Sciences Publishers
ISSN:1465-3060
ISSN (Online):1364-0380

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