Stabilizing the monodromy of an open book decomposition

2007/06/05 by Colin, Vincent, Honda, Ko
#53C15 #57M50 #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.0706.0581

Abstract

We prove that any mapping class on a compact oriented surface with nonempty boundary can be made pseudo-Anosov and right-veering after a sequence of positive stabilizations.

Related

• Right-veering diffeomorphisms of compact surfaces with boundary I
• Divide monodromies and antitwists on surfaces
• Detecting right-veering diffeomorphisms
• Creating pseudo-Anosov Maps from Permutations and Matrices
• Stein-fillability and positivity in the mapping class group