Right-veering diffeomorphisms of compact surfaces with boundary II
Geometric Topology
2009-11-11 v2
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].
Keywords
Cite
@article{arxiv.math/0603626,
title = {Right-veering diffeomorphisms of compact surfaces with boundary II},
author = {Ko Honda and William H. Kazez and Gordana Matic},
journal= {arXiv preprint arXiv:math/0603626},
year = {2009}
}
Comments
25 pages, 5 figures