128 citations · 177 across the 9 of their papers we have counts for
11 papers · 1 filter
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…
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…
Legendrian and Transversal Knots
John B. Etnyre
This is a survey paper on Legendrian and transversal knots for Handbook of Knot Theory.
Legendrian Submanifolds in and Contact Homology
Tobias Ekholm, John Etnyre, Michael G. Sullivan
Contact homology for Legendrian submanifolds in standard contact -space is rigorously defined using moduli spaces of holomorphic disks with Lagrangian boundary conditions i…