# Symplectic hypersurfaces and transversality in Gromov-Witten theory

@article{Cieliebak2007SymplecticHA, title={Symplectic hypersurfaces and transversality in Gromov-Witten theory}, author={Kai Cieliebak and Klaus Mohnke}, journal={arXiv: Symplectic Geometry}, year={2007} }

We use Donaldson hypersurfaces to construct pseudo-cycles which define Gromov-Witten invariants for any symplectic manifold which agree with the invariants in the cases where transversality could be achieved by perturbing the almost complex structure.

## 125 Citations

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We prove that Manolescu and Woodward's Symplectic Instanton homology, and its twisted versions are natural, and define maps associated to four dimensional cobordisms within this theory.
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