Embedded contact homology and Seiberg-Witten Floer cohomology I

Abstract

This is the first of five papers that construct an isomorphism between the embedded contact homology and Seiberg-Witten Floer cohomology of a compact 3-manifold with a given contact 1-form. This paper describes what is involved in the construction.

arXiv commentArguments in the Appendix are simplified

References in corpus (2)

• Relative asymptotic behavior of pseudoholomorphic half-cylinders
• The Seiberg-Witten equations and the Weinstein conjecture II: More closed integral curves of the Reeb vector field

Cited by in corpus (9)

• The Weinstein conjecture for stable Hamiltonian structures
• Weak Symplectic Fillings and Holomorphic Curves
• Sutures and contact homology I
• Recent progress on symplectic embedding problems in four dimensions
• A Hierarchy of Local Symplectic Filling Obstructions for Contact 3-Manifolds
• Knots in lattice homology
• Tamed to compatible: Symplectic forms via moduli space integration
• Reeb periodic orbits after a bypass attachment
• Taubes's proof of the Weinstein conjecture in dimension three