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
@article{10_1017_S0017089515000427,
author = {COATES, TOM and IRITANI, HIROSHI},
title = {ON {THE} {EXISTENCE} {OF} {A} {GLOBAL} {NEIGHBOURHOOD}},
journal = {Glasgow mathematical journal},
pages = {717--726},
year = {2016},
volume = {58},
number = {3},
doi = {10.1017/S0017089515000427},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089515000427/}
}
TY - JOUR AU - COATES, TOM AU - IRITANI, HIROSHI TI - ON THE EXISTENCE OF A GLOBAL NEIGHBOURHOOD JO - Glasgow mathematical journal PY - 2016 SP - 717 EP - 726 VL - 58 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089515000427/ DO - 10.1017/S0017089515000427 ID - 10_1017_S0017089515000427 ER -
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