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

Published online by Cambridge University Press:  20 November 2018

Junho Lee
Junho Lee*
Affiliation:
Department of Mathematics, University of Central Florida, Orlando, FL 32816, USA e-mail: junlee@mail.ucf.edu
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Abstract

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On a compact Kähler manifold $X$ with a holomorphic 2-form $\alpha$, 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.

Keywords

53D45
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 52 , Issue 1 , 01 March 2009 , pp. 87 - 94
Copyright
Copyright © Canadian Mathematical Society 2009

References

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