Plastikstufe with toric core

Abstract

Plastikstufes and overtwistedness for higher-dimensional contact manifolds are studied in this paper. It is proved that a contact structure is overtwisted if and only if there exists a small plastikstufe with toric core that has trivial rotation.

20 pages, 2 figures

References in corpus (2)

• The plastikstufe - a generalization of the overtwisted disk to higher dimensions
• Generalizations of twists of contact structures to higher-dimensions via round surgery