English

Associative submanifolds and gradient cycles

Differential Geometry 2020-04-17 v1

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.

Keywords

Cite

@article{arxiv.2004.07314,
  title  = {Associative submanifolds and gradient cycles},
  author = {Simon Donaldson and Christopher Scaduto},
  journal= {arXiv preprint arXiv:2004.07314},
  year   = {2020}
}
R2 v1 2026-06-23T14:52:53.640Z