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Holomorphic 2-Forms and Vanishing Theorems for Gromov--Witten Invariants

  Published:2009-03-01
 Printed: Mar 2009
  • Junho Lee
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Abstract

On a compact K\"{a}hler manifold $X$ with a holomorphic 2-form $\a$, there is an almost complex structure associated with $\a$. We show how this implies vanishing theorems for the Gromov--Witten invariants of $X$. This extends the approach used by Parker and the author for K\"{a}hler surfaces to higher dimensions.
MSC Classifications: 53D45 show english descriptions Gromov-Witten invariants, quantum cohomology, Frobenius manifolds [See also 14N35] 53D45 - Gromov-Witten invariants, quantum cohomology, Frobenius manifolds [See also 14N35]
 

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