Holomorphic curves in Exploded Torus Fibrations: Compactness
نویسنده
چکیده
The category of exploded torus fibrations is an extension of the category of smooth manifolds in which some adiabatic limits look smooth. (For example, the type of limits considered in tropical geometry appear smooth.) In this paper, we prove a compactness theorem for (pseudo)holomorphic curves in exploded torus fibrations. In the case of smooth manifolds, this is just a version of Gromov’s compactness theorem in a topology strong enough for gluing analysis.
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Holomorphic cuves in Exploded Torus Fibrations: Regularity
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