Associative submanifolds and gradient cycles

Autor:	Donaldson, Simon, Scaduto, Christopher
Rok vydání:	2020
Předmět:	Mathematics - Differential Geometry 53C26
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2004.07314 Zobrazit plný text záznamu View this record from Arxiv