English

Floer potentials, cluster algebras and quiver representations

Symplectic Geometry 2025-10-15 v2 Representation Theory

Abstract

We use cluster algebras to interpret Floer potentials of monotone Lagrangian tori in toric del Pezzo surfaces as cluster characters of quiver representations.

Keywords

Cite

@article{arxiv.2309.16009,
  title  = {Floer potentials, cluster algebras and quiver representations},
  author = {Peter Albers and Maria Bertozzi and Markus Reineke},
  journal= {arXiv preprint arXiv:2309.16009},
  year   = {2025}
}

Comments

14 pages; v2: typos corrected, presentation improved, more details in the proof of Lemma 4.1

R2 v1 2026-06-28T12:34:19.367Z