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Symplectic hypersurfaces and transversality in Gromov-Witten theory

Kai Cieliebak, Klaus Mohnke

math.SGarXiv:math/0702887

Abstract

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.

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