On the Existence of a Global Neighbourhood
File(s)GMJ-14-0242.pdf (304.98 KB)
Accepted version
Author(s)
Coates, T
Iritani, H
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.
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.
Date Issued
2015-07-21
Date Acceptance
2015-04-17
Citation
Glasgow Mathematical Journal, 2015, 58, pp.717-726
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
Subjects
math.AG
math.AG
Publication Status
Published