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Holomorphic 2-Forms and Vanishing Theorems for Gromov--Witten Invariants |
Published:2009-03-01
Printed: Mar 2009
Printed: Mar 2009
- Junho Lee
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 - Gromov-Witten invariants, quantum cohomology, Frobenius manifolds [See also 14N35] |