Journal of Symplectic Geometry

Volume 19 (2021)

Number 1

A compactness result for $\mathcal{H}$‑holomorphic curves in symplectizations

Pages: 37 – 119



Alexandru Doicu (Institut für Mathematik, Universität Augsburg, Germany)

Urs Fuchs (Mathematisches Institut, Universität Heidelberg, Germany)


$\mathcal{H}$‑holomorphic curves are solutions of a specific modification of the pseudoholomorphic curve equation in symplectizations involving a harmonic $1$‑form as perturbation term. In this paper we compactify the moduli space of $\mathcal{H}$‑holomorphic curves with a priori bounds on the harmonic $1$‑forms.

Received 19 May 2018

Accepted 15 July 2020

Published 26 March 2021