Holomorphic curves in exploded manifolds: Compactness

Abstract

This paper establishes compactness results for the moduli stack of holomorphic curves in suitable exploded manifolds. This result together with the analysis in arXiv:0902.0087 allows the definition of Gromov Witten invariants of these exploded manifolds.

arXiv comment76 pages. In v2, compactness is proved using more practical to verify assumptions, and there is more focus on $\dbar$-log compatible almost complex structures. arXiv admin note: text overlap with arXiv:0706.3917