Four-dimensional symplectic cobordisms containing three-handles

@inproceedings{Gay2006FourdimensionalSC,
  title={Four-dimensional symplectic cobordisms containing three-handles},
  author={David Thomas Gay},
  year={2006}
}
We construct four-dimensional symplectic cobordisms between contact threemanifolds generalizing an example of Eliashberg. One key feature is that any handlebody decomposition of one of these cobordisms must involve three-handles. The other key feature is that these cobordisms contain chains of symplectically embedded two-spheres of square zero. This, together with standard gauge theory, is used to show that any contact three-manifold of non-zero torsion (in the sense of Giroux) cannot be… CONTINUE READING

From This Paper

Figures, tables, and topics from this paper.

References

Publications referenced by this paper.
Showing 1-10 of 24 references

On symplectic fillings

View 14 Excerpts
Highly Influenced

Contact surgery and symplectic handlebodies

A Weinstein
Hokkaido Math. J. 20 (1991) 241–251 MR1114405 Department of Mathematics and Applied Mathematics, University of Cape Town Private Bag X3, Rondebosch 7701, South Africa dgay@maths.uct.ac.za Proposed: Yasha Eliashberg Received: 22 June 2006 Seconded: Peter Ozsváth, Tomasz Mrowka Accepted: 13 October 20 • 2006
View 4 Excerpts
Highly Influenced

On the geography of Stein fillings of certain 3–manifolds

A I Stipsicz
Michigan Math. J. 51 • 2003
View 4 Excerpts
Highly Influenced

Structures de contact en dimension trois et bifurcations des feuilletages de surfaces

E Giroux
Invent. Math. 141 • 2000
View 4 Excerpts
Highly Influenced

Simple singularities and topology of symplectically filling 4–manifold

H Ohta, K Ono
Comment. Math. Helv. 74 • 1999
View 5 Excerpts
Highly Influenced

Une infinité de structures de contact tendues sur une infinité de variétés

E Giroux
Invent. Math. 135 • 1999
View 4 Excerpts
Highly Influenced

Une structure de contact

E Giroux
même tendue, est plus ou moins tordue, Ann. Sci. École Norm. Sup. (4) 27 • 1994
View 4 Excerpts
Highly Influenced

Topological characterization of Stein manifolds of dimension > 2

Y Eliashberg
Internat. J. Math. 1 • 1990
View 12 Excerpts
Highly Influenced

Similar Papers

Loading similar papers…