Mathematics – Symplectic Geometry
Scientific paper
2011-03-09
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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