Transversality for Holomorphic Supercurves
Copyright policy )Transversality for Holomorphic Supercurves
We study holomorphic supercurves, which are motivated by supergeometry as a natural generalisation of holomorphic curves. We prove that, upon perturbing the defining equations by making them depend on a connection, the corresponding linearised operator is generically surjective. By this transversality result, we show that the resulting moduli spaces are oriented finite dimensional smooth manifolds. Finally, we examine how they depend on the choice of generic data.
25 pages
- Humboldt-Universität zu Berlin Germany
holomorphic curves, Implicit function theorems; global Newton methods on manifolds, 53D35, 58C15, Global theory of symplectic and contact manifolds, Mathematics - Symplectic Geometry, FOS: Mathematics, symplectic manifolds, Symplectic Geometry (math.SG), transversality
holomorphic curves, Implicit function theorems; global Newton methods on manifolds, 53D35, 58C15, Global theory of symplectic and contact manifolds, Mathematics - Symplectic Geometry, FOS: Mathematics, symplectic manifolds, Symplectic Geometry (math.SG), transversality
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