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Right-veering
diffeomorphisms of compact surfaces with boundary II
Ko Honda, William H Kazez and Gordana Matić |
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Geometry & Topology 12 (2008) 2057–2094
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Abstract |
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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 on 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]. |
Keywords
tight, contact structure, bypass, open book decomposition,
fibered link, mapping class group, Dehn twists
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Mathematical Subject Classification 2000
Primary: 57M50
Secondary: 53C15
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References |
Publication
Received: 6 December 2006
Revised: 22 April 2008
Accepted: 18 June 2008
Published: 26 July 2008
Proposed: Yasha Eliashberg
Seconded: Peter Ozsváth, Tom Mrowka
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Authors |
| Ko Honda | |
| Department of Mathematics University of Southern California Los Angeles CA 90089 USA |
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| http://rcf.usc.edu/\char126 khonda | |
| William H Kazez | |
| Department of Mathematics University of Georgia Athens GA 30602 USA |
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| http://www.math.uga.edu/\char126 will | |
| Gordana Matić | |
| Department of Mathematics University of Georgia Athens GA 30602 USA |
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| http://www.math.uga.edu/\char126 gordana | |
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