ON THE EXISTENCE OF A GLOBAL NEIGHBOURHOOD
Glasgow mathematical journal, Tome 58 (2016) no. 3, pp. 717-726

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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.
COATES, TOM; IRITANI, HIROSHI. ON THE EXISTENCE OF A GLOBAL NEIGHBOURHOOD. Glasgow mathematical journal, Tome 58 (2016) no. 3, pp. 717-726. doi: 10.1017/S0017089515000427
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