On the Existence of a Global Neighbourhood

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Title: On the Existence of a Global Neighbourhood
Authors: Coates, T
Iritani, H
Item Type: Journal Article
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.
Issue Date: 21-Jul-2015
Date of Acceptance: 17-Apr-2015
URI: http://hdl.handle.net/10044/1/24492
DOI: https://dx.doi.org/10.1017/S0017089515000427
ISSN: 1469-509X
Publisher: Cambridge University Press (CUP)
Start Page: 717
End Page: 726
Journal / Book Title: Glasgow Mathematical Journal
Volume: 58
Copyright Statement: © 2015 Glasgow Mathematical Journal Trust. This paper has been accepted for publication and will appear in a revised form, subsequent to peer-review and/or editorial input by Cambridge University Press in Glasgow Mathematical Journal. http://dx.doi.org/10.1017/S0017089515000427
Keywords: Science & Technology
Physical Sciences
Mathematics
math.AG
math.AG
math.AG
math.AG
General Mathematics
0101 Pure Mathematics
Publication Status: Published
Appears in Collections:Pure Mathematics
Mathematics
Faculty of Natural Sciences



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