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 a class of overtwisted contact structures.
Cite this article
Roger Casals, Francisco Presas, On the strong orderability of overtwisted 3–folds. Comment. Math. Helv. 91 (2016), no. 2, pp. 305–316DOI 10.4171/CMH/387