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arXiv · 1710.09130

Deformations of conically singular Cayley submanifolds

Kim Moore
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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.

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Kim Moore. 2017-10-25. Deformations of conically singular Cayley submanifolds. https://arxiv.org/abs/1710.09130

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