Associative submanifolds and gradient cycles

preprint2020arXivOpen access

Abstract

We discuss a model for associative submanifolds in G2G_{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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