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arxiv: 1609.00837 · v1 · pith:CTWEVBTJnew · submitted 2016-09-03 · 🧮 math.GT

Plastikstufe with toric core

classification 🧮 math.GT
keywords contactcoreplastikstufetoricexistshigher-dimensionalmanifoldsonly
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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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