Transversality for Holomorphic Supercurves

Details Transversality for Holomorphic Supercurves Transversality for Holomorphic Supercurves

2011-03-02

arxiv.org/abs/1103.0364v1

Mathematics

Symplectic Geometry

29 pages

Scientific paper

We perturb the defining equations for holomorphic supercurves by making them depend on a connection such that, in special cases, the original holomorphic supercurves are recovered. We prove that, for a generic choice of a connection and an almost complex structure, the resulting moduli spaces are finite dimensional smooth manifolds with a natural orientation. Moreover, we show that they are oriented cobordant for different such choices.

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