Gentle Algebras Arising from Surfaces with Orbifold Points of Order 3, Part I: Scattering Diagrams-Reference-Cited by-同舟云学术

Gentle Algebras Arising from Surfaces with Orbifold Points of Order 3, Part I: Scattering Diagrams

Published:2023-09-29 Issue: Volume: Page:
ISSN:1386-923X
Container-title:Algebras and Representation Theory
language:en
Short-container-title:Algebr Represent Theor

Author:

Labardini-Fragoso Daniel,Mou Lang

Abstract

AbstractTo each triangulation of any surface with marked points on the boundary and orbifold points of order three, we associate a quiver (with loops) with potential whose Jacobian algebra is finite dimensional and gentle. We study the stability scattering diagrams of such gentle algebras and use them to prove that the Caldero–Chapoton map defines a bijection between

$$\tau $$

τ-rigid pairs and cluster monomials of the generalized cluster algebra associated to the surface by Chekhov and Shapiro.

Funder

Dirección General de Asuntos del Personal Académico, Universidad Nacional Autónoma de México

Royal Society

Universität zu Köln

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s10468-023-10233-x.pdf

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