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arXiv · 2004.07314

Associative submanifolds and gradient cycles

Simon Donaldson·Christopher Scaduto
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Abstract

We discuss a model for associative submanifolds in $G_{2}$-manifolds with K3 fibrations, in the adiabatic limit. The model involves graphs in a 3-manifold whose edges are locally gradient flow lines. We show that this model produces analogues of known singularity formation phenomena for associative submanifolds.

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Simon Donaldson, Christopher Scaduto. 2020-04-15. Associative submanifolds and gradient cycles. https://arxiv.org/abs/2004.07314

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