Derived invariants for surface cut algebras of global dimension 2 II: the punctured case
DOI10.1080/00927872.2020.1797066zbMath1487.16009OpenAlexW3106790235MaRDI QIDQ3386831
Daniel Labardini-Fragoso, Claire Amiot, Pierre-Guy Plamondon
Publication date: 7 January 2021
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00927872.2020.1797066
triangulationglobal dimensionderived equivalenceJacobian algebracluster categoryquiver with potentialsurface with marked points
Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Representations of quivers and partially ordered sets (16G20) Graded rings and modules (associative rings and algebras) (16W50) Homological dimension in associative algebras (16E10) Derived categories and associative algebras (16E35)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Derived invariants for surface algebras
- The derived category of surface algebras: the case of the torus with one boundary component
- Algebras from surfaces without punctures
- A decomposition algorithm for the oriented adjacency graph of the triangulations of a bordered surface with marked points
- Derived equivalences from mutations of quivers with potential
- On the cluster category of a marked surface without punctures.
- Cluster categories for algebras of global dimension 2 and quivers with potential.
- Quivers with potentials associated to triangulated surfaces. IV: Removing boundary assumptions.
- Gentle algebras arising from surface triangulations.
- Cluster algebras and triangulated surfaces. I: Cluster complexes
- Quivers with potentials and their representations. I: Mutations.
- Iterated tilted algebras of type \({\tilde {\mathbb A}}_ n\)
- Representation theory of graded Artin algebras
- Derived classification of gentle algebras with two cycles.
- Derived equivalence of surface algebras in genus 0 via graded equivalence.
- On the noncommutative Donaldson-Thomas invariants arising from brane tilings
- Derived equivalences of gentle algebras via Fukaya categories
- Cluster equivalence and graded derived equivalence.
- Tagged mapping class groups: Auslander-Reiten translation
- Quadratic differentials as stability conditions
- Derived equivalence classification of the gentle two-cycle algebras
- Combinatorial derived invariants for gentle algebras.
- Cluster algebras as Hall algebras of quiver representations.
- Cluster algebras I: Foundations
- Algebras of acyclic cluster type: Tree type and typeÃ
- Linear independence of cluster monomials for skew-symmetric cluster algebras
- Dimer models and Calabi-Yau algebras
- Quivers with potentials associated to triangulated surfaces
- On Representatives of Subsets
- Quivers with potentials associated to triangulated surfaces, Part III: tagged triangulations and cluster monomials
- Derived categories of quasi-hereditary algebras and their derived composition series
- Cluster-tilted algebras as trivial extensions
- Quivers with relations arising from clusters (𝐴_{𝑛} case)
