论文标题

关联亚曼叶和梯度周期

Associative submanifolds and gradient cycles

论文作者

Donaldson, Simon, Scaduto, Christopher

论文摘要

我们在绝热极限中讨论了$ g_ {2} $ - 带有K3纤维的歧管中的关联子手机的模型。该模型涉及一个3个manifold的图形,其边缘是局部梯度流线。我们表明,该模型产生了与关联亚策略的已知奇异性形成现象的类似物。

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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