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An elliptic boundary value problem for G2-structures
| File | Description | Size | Format | |
|---|---|---|---|---|
 AnEllipticBoundaryValueProblem.pdf | Published version | 674.42 kB | Adobe PDF | View/Open |
| Title: | An elliptic boundary value problem for G2-structures |
| Authors: | Donaldson, S |
| Item 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. |
| Issue Date: | 24-May-2019 |
| Date of Acceptance: | 28-Nov-2018 |
| URI: | http://hdl.handle.net/10044/1/66571 |
| DOI: | 10.5802/aif.3225 |
| 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/ |
| Keywords: | Science & Technology Physical Sciences Mathematics exceptional holonomy G(2)-structures elliptic boundary value problems math.DG math.DG 53C26 math.DG math.DG 53C26 General Mathematics 0101 Pure Mathematics |
| Publication Status: | Published |
| Online Publication Date: | 2019-05-24 |
| Appears in Collections: | Pure Mathematics Faculty of Natural Sciences Mathematics |