Geodesic
Right-veering diffeomorphisms of compact surfaces with boundary II
Honda, Ko1 ; Kazez, William H2 ; Matić, Gordana2
1 Department of Mathematics, University of Southern California, Los Angeles, CA 90089, USA
2 Department of Mathematics, University of Georgia, Athens, GA 30602, USA
Geometry & topology, Tome 12 (2008) no. 4, pp. 2057-2094.

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

We continue our study of the monoid of right-veering diffeomorphisms on a compact oriented surface with nonempty boundary, introduced in [Invent. Math. 169 (2007) 427–449]. We conduct a detailed study of the case when the surface is a punctured torus; in particular, we exhibit the difference between the monoid of right-veering diffeomorphisms and the monoid of products of positive Dehn twists, with the help of the Rademacher function. We then generalize to the braid group Bn on n strands by relating the signature and the Maslov index. Finally, we discuss the symplectic fillability in the pseudo-Anosov case by comparing with the work of Roberts [Proc. London Math. Soc. (3) 82/83 (2001) 747–768/443–471].

DOI : 10.2140/gt.2008.12.2057
Keywords: tight, contact structure, bypass, open book decomposition, fibered link, mapping class group, Dehn twists

Honda, Ko 1 ; Kazez, William H 2 ; Matić, Gordana 2

1 Department of Mathematics, University of Southern California, Los Angeles, CA 90089, USA
2 Department of Mathematics, University of Georgia, Athens, GA 30602, USA 
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Honda, Ko; Kazez, William H; Matić, Gordana. Right-veering diffeomorphisms of compact surfaces with boundary II. Geometry & topology, Tome 12 (2008) no. 4, pp. 2057-2094. doi : 10.2140/gt.2008.12.2057. http://geodesic.mathdoc.fr/articles/10.2140/gt.2008.12.2057/

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