Exponential Convergence to Non-degenerate Reeb Chords

Abstract

Exponential convergence type results are proved for holomorphic curves in the symplectization of a contact manifold $Y$ with boundary on a Legendrian cylinder. The results are proven in all dimensions, and generalize earlier work specific to dimension 3.

Corrected and incorporated into PhD thesis

References in corpus (1)

• Compactness results in Symplectic Field Theory

Cited by in corpus (1)

• Perturbed Holomorphic Cylinders, Exponential Estimates, and Flow Lines