Exploded manifolds

Brett Parker

doi:10.1016/j.aim.2012.02.005

Exploded manifolds

Brett Parker^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

23 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	3256-3319
Number of pages	64
Journal	Advances in Mathematics
Volume	229
Issue number	6
DOIs	https://doi.org/10.1016/j.aim.2012.02.005
Publication status	Published - 1 Apr 2012
Externally published	Yes

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10.1016/j.aim.2012.02.005

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Exploded manifolds

Abstract

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