On overtwisted, right-veering open books

Details On overtwisted, right-veering open books On overtwisted, right-veering open books

2011-07-26

arxiv.org/abs/1107.5268v2

Mathematics

Geometric Topology

6 pages, 4 figures. v2: minor edits, accepted for publication in the Pacific Journal of Mathematics

Scientific paper

We exhibit infinitely many overtwisted, right-veering, non-destabilizable
open books, thus providing infinitely many counterexamples to a conjecture of
Honda-Kazez-Matic. The page of all our open books is a four-holed sphere and
the underlying 3-manifolds are lens spaces.

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