Tight Contact Structures on Fibered Hyperbolic 3-manifolds

@inproceedings{KAZEZ2001TightCS,
  title={Tight Contact Structures on Fibered Hyperbolic 3-manifolds},
  author={WILLIAM H. KAZEZ and Gordana M Mati{\'c}},
  year={2001}
}
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… CONTINUE READING

References

Publications referenced by this paper.
Showing 1-10 of 22 references

Contact 3-manifolds twenty years since J. Martinet's work

  • Y Eliashberg
  • Ann. Inst. Fourier (Grenoble)
  • 1992
Highly Influential
5 Excerpts

Recollement de variétés de contact tendues

  • V Colin
  • Bull. Soc. Math. France
  • 1999
Highly Influential
1 Excerpt

Confoliations, University Lecture Series Amer. Math. Soc

  • Y Eliashberg, W Thurston
  • Confoliations, University Lecture Series Amer…
  • 1998
Highly Influential
4 Excerpts

Tight Contact Structures on Fibered Hyperbolic

  • D Bennequin, Entrelacements De, Pfaff
  • TIGHT CONTACT STRUCTURES ON FIBERED HYPERBOLIC
  • 1983
Highly Influential
3 Excerpts

Mapping class groups, to appear in the Handbook of Geometric Topology

  • N Ivanov
  • Mapping class groups, to appear in the Handbook…
Highly Influential
1 Excerpt

Structures de contact sur les variétés fibrées en cercles au-dessus d'une surface

  • E Giroux
  • Comment . Math. Helv
  • 2001
2 Excerpts

Une infinité de structures de contact tendues sur les variétés toro¨toro¨ıdales

  • V Colin
  • Comment. Math. Helv
  • 2001

Similar Papers

Loading similar papers…