Exploded Manifolds

Details Exploded Manifolds Exploded Manifolds

2009-10-21

arxiv.org/abs/0910.4201v3

Advances in Mathematics 229 (2012), pp. 3256-3319

Mathematics

Symplectic Geometry

Scientific paper

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.

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