Cabling, contact structures and mapping class monoids

@article{Baker2010CablingCS,
  title={Cabling, contact structures and mapping class monoids},
  author={Kenneth L. Baker and John B. Etnyre and Jeremy van Horn-Morris},
  journal={arXiv: Symplectic Geometry},
  year={2010}
}
In this paper we discuss the change in contact structures as their supporting open book decompositions have their binding components cabled. To facilitate this and applications we define the notion of a rational open book decomposition that generalizes the standard notion of open book decomposition and allows one to more easily study surgeries on transverse knots. As a corollary to our investigation we are able to show there are Stein fillable contact structures supported by open books whose… 
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