Coherent orientations in symplectic field theory revisited

Abstract

In symplectic field theory (SFT), the moduli spaces of $J$-holomorphic curves can be oriented coherently (compatible with gluing). In this note, we correct the signs involved in the generating function $\mathbf{H}$ in SFT so that the master equation $\mathbf{H}\cdot \mathbf{H}=0$ holds assuming transversality. The orientation convention that we use is consistent with that of Hutchings-Taubes from [HT09].

arXiv commentfixed a bunch of mistakes and typos. The main results are not affected