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arXiv · 1411.3092

On the Existence of a Global Neighbourhood

Tom Coates·Hiroshi Iritani
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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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Tom Coates, Hiroshi Iritani. 2014-11-12. On the Existence of a Global Neighbourhood. https://doi.org/10.1017/s0017089515000427

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