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Published online by Cambridge University Press:  21 July 2015

Department of Mathematics, Imperial College London, 180 Queen's Gate, London SW7 2AZ, United Kingdom e-mail:
Department of Mathematics, Graduate School of Science, Kyoto University, Kitashirakawa-Oiwake-cho, Sakyo-ku, Kyoto, 606-8502, Japan e-mail:
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Suppose that a complex manifold M is locally embedded into a higher-dimensional neighbourhood as a submanifold. We show that, if the local neighbourhood germs are compatible in a suitable sense, then they glue together to give a global neighbourhood of M. As an application, we prove a global version of Hertling–Manin's unfolding theorem for germs of TEP structures; this has applications in the study of quantum cohomology.

Research Article
Copyright © Glasgow Mathematical Journal Trust 2015 



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