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Gromov–Witten Invariants of Blow-ups Along Surfaces

Published online by Cambridge University Press:  04 December 2007

Jianxun Hu
Jianxun Hu
Affiliation:
Department of Mathematics, Zhongshan University, Guangzhou, 510275, P.R. China. E-mail: stsjxhu@zsu.edu.cn
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Abstract

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In this paper, using the gluing formula of Gromov–Witten invariants for symplectic cutting developed by Li and Ruan, we established some relations between Gromov–Witten invariants of a semipositive symplectic manifold M and its blow-ups along a smooth surface.

Keywords

gluing formulablowupGromov–Witten invariantsemipositive symplectic manifold
Type
Research Article
Information
Compositio Mathematica , Volume 125 , Issue 3 , February 2001 , pp. 345 - 352
Copyright
© 2001 Kluwer Academic Publishers