Deformations of conically singular Cayley submanifolds
Differential Geometry
2017-10-26 v1
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.
Cite
@article{arxiv.1710.09130,
title = {Deformations of conically singular Cayley submanifolds},
author = {Kim Moore},
journal= {arXiv preprint arXiv:1710.09130},
year = {2017}
}