Plastikstufe with toric core
Jiro Adachi
TL;DR
This paper investigates higher-dimensional contact manifolds, establishing that the existence of a small plastikstufe with toric core and trivial rotation characterizes overtwisted contact structures.
Contribution
It provides a new criterion for overtwistedness in higher dimensions based on plastikstufe with toric core and trivial rotation.
Findings
Overtwistedness characterized by plastikstufe with toric core
Existence of small plastikstufe implies overtwisted contact structure
Trivial rotation is key to the characterization
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.
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Taxonomy
TopicsGeometric and Algebraic Topology · Adhesion, Friction, and Surface Interactions · Computational Geometry and Mesh Generation