On cluster algebras from once punctured closed surfaces

Sefi Ladkani

On cluster algebras from once punctured closed surfaces

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 1310.4454 v1 pith:CCCEMFXJ submitted 2013-10-16 math.RT

Sefi Ladkani This is my paper · ORCID

classification math.RT

keywords quiversclassclosedsurfacesadjacencyalgebrasalongarbitrary

verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments

read the original abstract

We show that many cluster-theoretic properties of the Markov quiver hold also for adjacency quivers of triangulations of once-punctured closed surfaces of arbitrary genus. Along the way we consider the class P of quivers introduced by Kontsevich and Soibelman, characterize the mutation-finite quivers that belong to that class and draw some conclusions regarding non-degenerate potentials on them.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Monodromy of plane curve singularities and quiver mutation
math.AG 2026-08 accept novelty 8.0 of 10

The quiver mutation class of a malleable divide determines the integral monodromy module, and hence the topological type, of an irreducible plane curve singularity.

Pith tools