6 citations · 13 across the 4 of their papers we have counts for
4 papers
Open book decompositions and stable Hamiltonian structures
Chris Wendl
We show that every open book decomposition of a contact 3-manifold can be represented (up to isotopy) by a smooth R-invariant family of pseudoholomorphic curves on its symplectizat…
Automatic Transversality and Orbifolds of Punctured Holomorphic Curves in Dimension Four
Chris Wendl
We derive a numerical criterion for J-holomorphic curves in 4-dimensional symplectic cobordisms to achieve transversality without any genericity assumption. This generalizes result…
Compactness for Embedded Pseudoholomorphic Curves in 3-manifolds
Chris Wendl
We prove a compactness theorem for holomorphic curves in 4-dimensional symplectizations that have embedded projections to the underlying 3-manifold. It strengthens the cylindrical…
Finite Energy Foliations on Overtwisted Contact Manifolds
Chris Wendl
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 pr…