The Seiberg–Witten equations and the Weinstein conjecture II: More closed integral curves of the Reeb vector field

Abstract

Let $M$ denote a compact, orientable 3–dimensional manifold and let a denote a contact 1–form on $M$; thus a $\wedge$ da is nowhere zero. This article explains how the Seiberg–Witten Floer homology groups as defined for any given ${Spin}_{ℂ}$ structure on $M$ give closed, integral curves of the vector field that generates the kernel of $da$.