Right-veering diffeomorphisms of compact surfaces with boundary I

2005/10/28 by Honda, Ko, Kazez, William H., Matic, Gordana · 3 citations
#FOS: Mathematics #Geometric Topology (math.GT) #Primary 57M50 #Secondary 53C15

paper · doi:10.48550/arxiv.math/0510639

Abstract

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.

Cited by

• Monodromies of surfaces in 3-manifolds, right-veeringness, and primeness of links
• Transverse fibered knots and Taut Foliations
• Degeneracy slopes, boundary slopes and exceptional surgery slopes

Related

• Detecting right-veering diffeomorphisms
• Stabilizing the monodromy of an open book decomposition
• Cabling, contact structures and mapping class monoids
• On four-dimensional Dehn twists and Milnor fibrations
• Monodromies of surfaces in 3-manifolds, right-veeringness, and primeness of links