On generalized Lutz twists
Joint work with Dishant M Pancholi,
Proc.\ of the LMS 84 (2011), 670--688.

In this note 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.

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