On the Existence of a Global Neighbourhood
Algebraic Geometry
2016-09-29 v1
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.
Keywords
Cite
@article{arxiv.1411.3092,
title = {On the Existence of a Global Neighbourhood},
author = {Tom Coates and Hiroshi Iritani},
journal= {arXiv preprint arXiv:1411.3092},
year = {2016}
}
Comments
9 pages