Holomorphic Open Book Decompositions

Abstract

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.

corrected some typos, added some comments

References in corpus (4)

• Géométrie de contact: de la dimension trois vers les dimensions supérieures
• The Seiberg-Witten equations and the Weinstein conjecture
• Relative asymptotic behavior of pseudoholomorphic half-cylinders
• Strongly Fillable Contact Manifolds and J-holomorphic Foliations

Cited by in corpus (1)

• A Hierarchy of Local Symplectic Filling Obstructions for Contact 3-Manifolds