Holomorphic Open Book Decompositions

Details Holomorphic Open Book Decompositions Holomorphic Open Book Decompositions

2009-07-20

arxiv.org/abs/0907.3512v5

Mathematics

Symplectic Geometry

corrected some typos, added some comments

Scientific paper

Emmanuel Giroux showed that every contact structure on a closed three
dimensional manifold is supported by an open book decomposition. We will extend
this result by showing that the open book decomposition can be chosen in such a
way that the pages are solutions to a homologically perturbed Holomorphic Curve
equation.

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