Geodesic
Factorizations of diffeomorphisms of compact surfaces with boundary
Wand, Andy1
1 Laboratoire de Mathématiques Jean Leray, Université de Nantes, 2, rue de la Houssinière, 44322 Nantes, France
Geometry & topology, Tome 19 (2015) no. 5, pp. 2407-2464.

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

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.

DOI : 10.2140/gt.2015.19.2407
Classification : 57R17
Keywords: contact structures, open book decompositions, mapping class groups, Stein fillings

Wand, Andy 1

1 Laboratoire de Mathématiques Jean Leray, Université de Nantes, 2, rue de la Houssinière, 44322 Nantes, France 
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Wand, Andy. Factorizations of diffeomorphisms of compact surfaces with boundary. Geometry & topology, Tome 19 (2015) no. 5, pp. 2407-2464. doi : 10.2140/gt.2015.19.2407. http://geodesic.mathdoc.fr/articles/10.2140/gt.2015.19.2407/

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