30 citations · 96 across the 20 of their papers we have counts for
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math.SG2009
Holomorphic curves in exploded manifolds: Compactness
Brett Parker
This paper establishes compactness results for the moduli stack of holomorphic curves in suitable exploded manifolds. This result together with the analysis in arXiv:0902.0087 allo…
math.SG2009
Exploded Manifolds
Brett Parker
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 curv…
math.SG2009★ 5 cited
Holomorphic curves in exploded manifolds: regularity
Brett Parker
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 p…