Right-veering diffeomorphisms of compact surfaces with boundary II

Ko Honda; William H. Kazez; Gordana Matic

doi:10.1007/s00222-007-0051-4

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Right-veering diffeomorphisms of compact surfaces with boundary II

Ko Honda·William H. Kazez·Gordana Matic

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Abstract

We continue our study of the monoid of right-veering diffeomorphisms on a compact oriented surface with nonempty boundary, introduced in [HKM2]. 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 B_n 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 [Ro1,Ro2].

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BibTeX RIS

Ko Honda, William H. Kazez, Gordana Matic. 2008-04-22. Right-veering diffeomorphisms of compact surfaces with boundary II. https://doi.org/10.1007/s00222-007-0051-4

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