English

Morse theory for the Allen-Cahn functional

Differential Geometry 2023-10-27 v1 Analysis of PDEs

Abstract

In this article, we use Morse-theoretic techniques to construct connections between low energy critical submanifolds of the Allen-Cahn energy functional in the 3-sphere via the negative gradient flow.

Cite

@article{arxiv.2310.17096,
  title  = {Morse theory for the Allen-Cahn functional},
  author = {Jingwen Chen and Pedro Gaspar},
  journal= {arXiv preprint arXiv:2310.17096},
  year   = {2023}
}

Comments

23 pages. All comments welcome

R2 v1 2026-06-28T13:02:19.067Z