Holomorphic 2-Forms and Vanishing Theorems for Gromov–Witten Invariants
Junho Lee
Abstract
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Junho Lee
Abstract
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Abstract On a compact Kähler manifold X with a holomorphic 2-form α, there is an almost complex structure associated with α. 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 Kähler surfaces to higher dimensions.
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Abstract On a compact Kähler manifold X with a holomorphic 2-form α, there is an almost complex structure associated with α. 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 Kähler surfaces to higher dimensions.
Key concepts: Mathematics, Holomorphic function, Pure mathematics, Manifold (fluid mechanics), Kähler manifold, Complex manifold, Engineering, Mechanical engineering