On the strong orderability of overtwisted 3-folds

2014/08/09 by Casals, Roger, Presas, Francisco · 1 citation
#53D10 #57R17 #FOS: Mathematics #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.1408.2077

Abstract

In this article we address the existence of positive loops of contactomorphisms in overtwisted contact 3-folds. We present a construction of such positive loops in the contact fibered connected sum of certain contact 3-folds along transverse knots. In particular, we obtain positive loops of contactomorphisms in overtwisted contact structures.

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• Positive paths in diffeomorphism groups of manifolds with a contact distribution

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