Corpus ID: 17450086

Tight contact structures on fibered hyperbolic 3-manifolds

  title={Tight contact structures on fibered hyperbolic 3-manifolds},
  author={K. Honda and W. Kazez and G. Mati{\'c}},
  journal={arXiv: Geometric Topology},
  • K. Honda, W. Kazez, G. Matić
  • Published 2001
  • Mathematics
  • arXiv: Geometric Topology
  • We take a first step towards understanding the relationship between foliations and universally tight contact structures on hyperbolic 3-manifolds. If a surface bundle over a circle has pseudo-Anosov holonomy, we obtain a classification of "extremal" tight contact structures. Specifically, there is exactly one contact structure whose Euler class, when evaluated on the fiber, equals the Euler number of the fiber. This rigidity theorem is a consequence of properties of the action of pseudo-Anosov… CONTINUE READING
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