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Exploded manifolds

Parker, Brett


This paper provides an introduction to exploded manifolds. The category of exploded manifolds is an extension of the category of smooth manifolds with an excellent holomorphic curve theory. Each exploded manifold has a tropical part which is a union of convex polytopes glued along faces. Exploded manifolds are useful for defining and computing Gromov-Witten invariants relative to normal crossing divisors, and using tropical curve counts to compute Gromov-Witten invariants.

CollectionsANU Research Publications
Date published: 2012
Type: Journal article
Source: Advances in Mathematics
DOI: 10.1016/j.aim.2012.02.005


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