Right-veering diffeomorphisms of compact surfaces with boundary I

Details Right-veering diffeomorphisms of compact surfaces with boundary I Right-veering diffeomorphisms of compact surfaces with boundary I

2005-10-28

arxiv.org/abs/math/0510639v1

Mathematics

Geometric Topology

19 pages, 7 figures

Scientific paper

We initiate the study of the monoid of right-veering diffeomorphisms on a
compact oriented surface with nonempty boundary. The monoid strictly contains
the monoid of products of positive Dehn twists. We explain the relationship to
tight contact structures and open book decompositions.

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