Compactness for Holomorphic Supercurves

Details Compactness for Holomorphic Supercurves Compactness for Holomorphic Supercurves

2011-03-09

arxiv.org/abs/1103.1796v1

Mathematics

Symplectic Geometry

52 pages

Scientific paper

We give an explicit construction of limiting objects for sequences of holomorphic supercurves and prove that, in important cases, every such sequence has a convergent subsequence provided that a suitable extension of the classical energy is uniformly bounded. This is a version of Gromov compactness. Finally, we introduce a topology on the moduli spaces enlarged by the limiting objects which makes these spaces compact and metrisable.

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