Holomorphic curves in Exploded Torus Fibrations: Regularity

Mathematics – Symplectic Geometry

Scientific paper

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48 pages. v2: The construction of Gromov Witten invariants has been removed to another paper

Scientific paper

The category of exploded manifolds is an extension of the category of smooth manifolds related to tropical geometry in which some adiabatic limits appear as smooth families. This paper studies the dbar equation on variations of a given family of curves in an exploded manifold. The resulting regularity results are used in a separate paper to construct Gromov Witten invariants for exploded manifolds.

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