On Jacobian algebras from closed surfaces

Abstract

We show that the quivers with potentials associated to ideal triangulations of marked surfaces with empty boundary are not rigid, and their completed Jacobian algebras are finite-dimensional and symmetric.

17 pages

References in corpus (4)

• Quivers with potentials associated to triangulated surfaces, part IV: Removing boundary assumptions
• Quivers with potentials associated to triangulated surfaces, Part II: Arc representations
• Gentle algebras arising from surface triangulations
• On finite dimensional Jacobian Algebras

Cited by in corpus (16)

• The representation type of Jacobian algebras
• Quivers with potentials associated to triangulated surfaces, part IV: Removing boundary assumptions
• Towards derived equivalence classification of the cluster-tilted algebras of Dynkin type D
• On cluster algebras from once punctured closed surfaces
• Algebras of generalized dihedral type
• Ice quivers with potential arising from once-punctured polygons and Cohen-Macaulay modules
• Algebras of quasi-quaternion type
• Algebras of partial triangulations
• From groups to clusters
• Derived invariants for surface cut algebras II: the punctured case
• On finite dimensional Jacobian Algebras
• Sign stability of mapping classes on marked surfaces II: general case via reductions
• Quivers with potentials associated to triangulations of closed surfaces with at most two punctures
• Categorical dynamical systems arising from sign-stable mutation loops
• Calabi-Yau properties of ribbon graph orders
• Compatibility degree of cluster complexes