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ON THE EXISTENCE OF A GLOBAL NEIGHBOURHOOD
Published online by Cambridge University Press: 21 July 2015
Abstract
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.
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- Copyright © Glasgow Mathematical Journal Trust 2015
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