Abstract
We develop a method for preserving pseudoholomorphic curves in contact 3–manifolds under surgery along transverse links. This makes use of a geometrically natural boundary value problem for holomorphic curves in a 3–manifold with stable Hamiltonian structure, where the boundary conditions are defined by 1–parameter families of totally real surfaces. The technique is applied here to construct a finite energy foliation for every closed overtwisted contact 3–manifold.
Citation
Chris Wendl. "Finite energy foliations on overtwisted contact manifolds." Geom. Topol. 12 (1) 531 - 616, 2008. https://doi.org/10.2140/gt.2008.12.531
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