128 citations · 177 across the 9 of their papers we have counts for
21 papers
Legendrian Contact Homology in P X R
Tobias Ekholm, John Etnyre, Michael G. Sullivan
A rigorous foundation for the contact homology of Legendrian submanifolds in a contact manifold of the form where is an exact symplectic manifold is established. T…
Invariants of Knots, Embeddings and Immersions via Contact Geometry
Tobias Ekholm, John B. Etnyre
This paper is an overview of the idea of using contact geometry to construct invariants of immersions and embeddings. In particular, it discusses how to associate a contact manifol…
Lectures on open book decompositions and contact structures
John B. Etnyre
These are lecture notes from the Clay Mathematics Institute summer school ``Floer Homology, Gauge Theory, and Low Dimensional Topology'' Alfred Renyi Institute; www.claymath.org/pr…
Orientations in Legendrian Contact Homology and Exact Lagrangian Immersions
Tobias Ekholm, John Etnyre, Michael G. Sullivan
We show how to orient moduli spaces of holomorphic disks with boundary on an exact Lagrangian immersion of a spin manifold into complex n-space in a coherent manner. This allows us…
Planar open book decompositions and contact structures
John B. Etnyre
In this note we observe that while all overtwisted contact structures on compact 3--manifolds are supported by planar open book decompositions, not all contact structures are. This…
Generic hydrodynamic instability of curl eigenfields
John B. Etnyre, Robert Ghrist
We prove that for generic geometry, the curl-eigenfield solutions to the steady Euler equations on the three torus are all hydrodynamically unstable (linear, L^2 norm). The proof i…