Gromov compactness for holomorphic discs with totally real boundary conditions

Abstract

We prove that a sequence of holomorphic discs with totally real boundary conditions has a subsequence that Gromov converges to a stable holomorphic map of genus zero with connected boundary provided that the sequence is bounded and has bounded energy.

To appear in J. Fixed Point Theory Appl

References in corpus (3)

• The plastikstufe - a generalization of the overtwisted disk to higher dimensions
• Reeb dynamics detects odd balls
• The Weinstein conjecture for connected sums

Cited by in corpus (5)

• Floer theory and flips
• Periodic orbits in virtually contact structures
• Symplectic dynamics of contact isotropic torus complements
• Invariance of Immersed Floer cohomology under Maslov flows
• Analytic filling of totally real tori