71 citations · 386 across the 19 of their papers we have counts for
6 papers · 2 filters
Lectures on Holomorphic Curves in Symplectic and Contact Geometry
Chris Wendl
This is a set of expository lecture notes created originally for a graduate course on holomorphic curves taught at ETH Zurich and the Humboldt University Berlin in 2009/2010. The n…
Algebraic Torsion in Contact Manifolds
Janko Latschev, Chris Wendl
We extract a nonnegative integer-valued invariant, which we call the "order of algebraic torsion", from the Symplectic Field Theory of a closed contact manifold, and show that its…
A Hierarchy of Local Symplectic Filling Obstructions for Contact 3-Manifolds
Chris Wendl
We generalize the familiar notions of overtwistedness and Giroux torsion in 3-dimensional contact manifolds, defining an infinite hierarchy of local filling obstructions called pla…
Non-Exact Symplectic Cobordisms Between Contact 3-Manifolds
Chris Wendl
We show that the pre-order defined on the category of contact manifolds by arbitrary symplectic cobordisms is considerably less rigid than its counterparts for exact or Stein cobor…
Weak Symplectic Fillings and Holomorphic Curves
Klaus Niederkrüger, Chris Wendl
We prove several results on weak symplectic fillings of contact 3-manifolds, including: (1) Every weak filling of any planar contact manifold can be deformed to a blow up of a Stei…
Holomorphic Curves in Blown Up Open Books
Chris Wendl
We use contact fiber sums of open book decompositions to define an infinite hierarchy of filling obstructions for contact 3-manifolds, called planar k-torsion for nonnegative integ…