Moore, K;
(2019)
Deformations of Conically Singular Cayley Submanifolds.
Journal of Geometric Analysis
, 29
pp. 2147-2216.
10.1007/s12220-018-0074-7.
Preview |
Text
Moore_DeformationsOfConicallySingula.pdf - Published Version Download (943kB) | Preview |
Abstract
In this article, we study the deformation theory of conically singular Cayley submanifolds. In particular, we prove a result on the expected dimension of a moduli space of Cayley deformations of a conically singular Cayley submanifold. Moreover, when the Cayley submanifold is a two-dimensional complex submanifold of a Calabi–Yau four-fold, we show by comparing Cayley and complex deformations that in this special case the moduli space is a smooth manifold. We also perform calculations of some of the quantities discussed for some examples.
| Type: | Article |
|---|---|
| Title: | Deformations of Conically Singular Cayley Submanifolds |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1007/s12220-018-0074-7 |
| Publisher version: | http://doi.org/10.1007/s12220-018-0074-7 |
| Language: | English |
| Additional information: | Copyright © The Author(s) 2018. Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. |
| Keywords: | Calibrated geometry, Special holonomy, Conical singularities |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences |
| URI: | https://discovery-pp.ucl.ac.uk/id/eprint/10056753 |
Archive Staff Only
 |
View Item |
