On generalizing Lutz twists

Details On generalizing Lutz twists On generalizing Lutz twists

2009-03-02

arxiv.org/abs/0903.0295v3

Mathematics

Symplectic Geometry

16 pages, 2 figures

Scientific paper

We give a possible generalization of Lutz twist to all dimensions. This reproves the fact that every contact manifold can be given a non-fillable contact structure and also shows great flexibility in the manifolds that can be realized as cores of overtwisted families. We moreover show that $\R^{2n+1}$ has at least three distinct contact structures. This version includes improvements to the notation and exposition.

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