A bijection between \(m\)-cluster-tilting objects and \((m + 2)\)-angulations in \(m\)-cluster categories
From MaRDI portal
Publication:2068192
DOI10.1016/j.jalgebra.2021.11.041zbMath1490.18019arXiv1706.06866OpenAlexW2701341236MaRDI QIDQ2068192
Publication date: 19 January 2022
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1706.06866
Representations of quivers and partially ordered sets (16G20) Graph representations (geometric and intersection representations, etc.) (05C62) Cluster algebras (13F60) Derived categories, triangulated categories (18G80)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Coloured quiver mutation for higher cluster categories.
- Rigid objects in higher cluster categories
- Cluster algebras and cluster categories
- Cluster combinatorics of \(d\)-cluster categories.
- A geometric model for cluster categories of type \(D_n\).
- Generalized cluster complexes via quiver representations.
- Defining an \(m\)-cluster category.
- Mutation in triangulated categories and rigid Cohen-Macaulay modules
- Tilting theory and cluster combinatorics.
- Polygon dissections and some generalizations of cluster complexes
- On triangulated orbit categories
- Cluster algebras I: Foundations
- Cluster structures for 2-Calabi–Yau categories and unipotent groups
- A geometric description of $m$-cluster categories
- Acyclic Calabi–Yau categories
- Coloured quivers for rigid objects and partial triangulations: the unpunctured case
- A Geometric Description of them-cluster Categories of TypeDn
- Quivers with relations arising from clusters (𝐴_{𝑛} case)
This page was built for publication: A bijection between \(m\)-cluster-tilting objects and \((m + 2)\)-angulations in \(m\)-cluster categories