An elliptic boundary value problem for G2-structures
File(s)AnEllipticBoundaryValueProblem.pdf (674.42 KB)
Published version
Author(s)
Donaldson, Simon
Type
Journal Article
Abstract
We show that the G2 holonomy equation on a manifold with boundary, with prescribed 3-form on the boundary, is elliptic. The main point is to set up a suitable linear elliptic boundary value problem. This result leads to a deformation theory. In particular we establish the existence of certain G2 cobordisms between two small deformations of a Calabi-Yau 3-fold.
Date Issued
2019-05-24
Date Acceptance
2018-11-28
Citation
Annales de l'Institut Fourier, 2019, 68 (7), pp.2783-2809
ISSN
0373-0956
Publisher
Association des Annales de l'Institut Fourier
Start Page
2783
End Page
2809
Journal / Book Title
Annales de l'Institut Fourier
Volume
68
Issue
7
Copyright Statement
© Association des Annales de l’institut Fourier, 2018,
Certains droits réservés.
Cet article est mis à disposition selon les termes de la licence
CREATIVE COMMONS ATTRIBUTION – PAS DE MODIFICATION 3.0 FRANCE.
http://creativecommons.org/licenses/by-nd/3.0/fr/
Certains droits réservés.
Cet article est mis à disposition selon les termes de la licence
CREATIVE COMMONS ATTRIBUTION – PAS DE MODIFICATION 3.0 FRANCE.
http://creativecommons.org/licenses/by-nd/3.0/fr/
Identifier
http://arxiv.org/abs/1801.01806v1
Subjects
math.DG
math.DG
53C26
Publication Status
Published
Date Publish Online
2019-05-24