The Chord Problem and a new method of filling by pseudoholomorphic curves

Abstract

In this paper we give a simple application of the filling methods developed earlier to the chord problem in three dimensional contact geometry.

12 pages, this paper and the items 1.-3. replace the first version, added more references, minor non-mathematical changes in text

References in corpus (3)

• Tight contact structures and taut foliations
• Pseudoholomorphic Strips in Symplectisations II: Fredholm theory and Transversality
• Holomorphic Disks and the Chord Conjecture

Cited by in corpus (5)

• Proof of the Arnold chord conjecture in three dimensions II
• Pseudoholomorphic Strips in Symplectisations I: Asymptotic Behavior
• Coisotropic Ekeland-Hofer capacities
• On the strict Arnold chord property and coisotropic submanifolds of complex projective space
• Taubes's proof of the Weinstein conjecture in dimension three