Symplectic hypersurfaces and transversality in Gromov-Witten theory

Details Symplectic hypersurfaces and transversality in Gromov-Witten theory Symplectic hypersurfaces and transversality in Gromov-Witten theory

2007-02-28

arxiv.org/abs/math/0702887v2

Mathematics

Symplectic Geometry

53 pages, final version

Scientific paper

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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