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Search: MSC category 53D45 ( Gromov-Witten invariants, quantum cohomology, Frobenius manifolds [See also 14N35] )

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1. CMB 2009 (vol 52 pp. 87)

Lee, Junho
Holomorphic 2-Forms and Vanishing Theorems for Gromov--Witten Invariants
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.


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