English

Quivers from non-orientable surfaces

Combinatorics 2022-01-19 v1 Commutative Algebra

Abstract

We associate a quiver to a quasi-triangulation of a non-orientable marked surface and define a notion of quiver mutation that is compatible with quasi-cluster algebra mutation defined by Dupont and Palesi. Moreover, we use our quiver to show the unistructurality of the quasi-cluster algebra arising from the Mobius strip.

Keywords

Cite

@article{arxiv.2201.05643,
  title  = {Quivers from non-orientable surfaces},
  author = {Véronique Bazier-Matte and Fenghuan He and Ruiyan Huang and Hanyi Yuo and Kayla Wright},
  journal= {arXiv preprint arXiv:2201.05643},
  year   = {2022}
}

Comments

30 pages, 24 figures

R2 v1 2026-06-24T08:50:35.466Z