Contact structures on M × S2

The authors would like to thank the Max Planck Institute for Mathematics in Bonn for its hospitality while parts of this work has been carried out, and Hansjorg Geiges for useful comments on an earlier draft of the paper. AS was partially supported by OTKA NK81203, by the Lendulet program of the Hungarian Academy of Sciences and by ERC LDTBud. The present work is part of the authors’ activities within CAST, a Research Network Program of the European Science Foundation.