Braid groups and quiver mutation

DOI10.2140/pjm.2017.290.77zbMath1375.13032arXiv1408.5276OpenAlexW3099662335WikidataQ56285854 ScholiaQ56285854MaRDI QIDQ2363588

Joseph Grant, Bethany R. Marsh

Publication date: 20 July 2017

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.5276

zbMATH Keywords

Coxeter groupbraid groupcluster algebraGinzburg dg algebraspherical twist

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36) Representations of quivers and partially ordered sets (16G20) Differential graded algebras and applications (associative algebraic aspects) (16E45) Cluster algebras (13F60) Derived categories and associative algebras (16E35)

Related Items (14)

Artin group presentations arising from cluster algebras ⋮ Green groupoids of 2-Calabi–Yau categories, derived Picard actions, and hyperplane arrangements ⋮ Bouquets of curves in surfaces ⋮ Higher zigzag algebras ⋮ Interval groups related to finite Coxeter groups. I ⋮ Interval groups related to finite Coxeter groups Part II ⋮ Isomorphism and non-isomorphism for interval groups of type \(D_n\) ⋮ Recovering the topology of surfaces from cluster algebras ⋮ Categorification of ice quiver mutation ⋮ Categorical action of the extended braid group of affine type A ⋮ The braid group for a quiver with superpotential ⋮ A lattice isomorphism theorem for cluster groups of mutation-Dynkin type \(A_{n}\) ⋮ Quiver mutations and Boolean reflection monoids ⋮ Presentations of groups with even length relations

Cites Work

• Decorated marked surfaces: spherical twists versus braid twists
• Derived equivalences from mutations of quivers with potential
• Braid groups and Kleinian singularities
• Cluster algebras and triangulated orbifolds
• Cluster categories for algebras of global dimension 2 and quivers with potential.
• Quivers with potentials associated to triangulated surfaces. IV: Removing boundary assumptions.
• Cluster algebras and triangulated surfaces. I: Cluster complexes
• Quivers with potentials and their representations. I: Mutations.
• Planar graphs and presentations of braid groups
• Cluster algebras. II: Finite type classification
• Braid group actions on derived categories of coherent sheaves.
• A geometric model for cluster categories of type \(D_n\).
• Tilting theory and cluster combinatorics.
• Quivers, Floer cohomology, and braid group actions
• Cluster algebras I: Foundations
• Deformed Calabi–Yau completions
• Quivers with potentials associated to triangulated surfaces
• Deriving DG categories
• Picard Groups for Derived Module Categories
• Braid pictures for Artin groups
• Derived autoequivalences from periodic algebras
• Braid Groups
• Lifts of longest elements to braid groups acting on derived categories
• Reflection group presentations arising from cluster algebras
• Quivers with relations arising from clusters (𝐴_{𝑛} case)
• The Braid Groups.

This page was built for publication: Braid groups and quiver mutation