Holomorphic curves in exploded manifolds: Compactness
Brett Parker
TL;DR
This paper proves compactness for the moduli space of holomorphic curves in exploded manifolds, enabling the definition of Gromov-Witten invariants for these spaces.
Contribution
It establishes compactness results crucial for defining Gromov-Witten invariants in the context of exploded manifolds.
Findings
Compactness of the moduli stack of holomorphic curves
Foundation for Gromov-Witten invariants in exploded manifolds
Integration with previous analysis in arXiv:0902.0087
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.
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