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Absolute vs. Relative Gromov-Witten Invariants

In light of recent attempts to extend the Cieliebak-Mohnke approach for constructing Gromov-Witten invariants to positive genera, we compare the absolute and relative Gromov-Witten invariants of compact symplectic manifolds when the symplectic hypersurface contains no relevant holomorphic curves. We show that these invariants are then the same, except in a narrow range of dimensions of the target and genera of the domains, and provide examples when they fail to be the same.

preprint2014arXivOpen access
Mohammad F. TehraniAleksey Zinger
math.SGmath.AG
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Mohammad F. TehraniAleksey Zinger

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