Donaldson-Thomas theory and cluster algebras

Kentaro Nagao

Donaldson-Thomas theory and cluster algebras

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 1002.4884 v2 pith:T5KC6CCT submitted 2010-02-26 math.AG math.RT

Kentaro Nagao This is my paper · ORCID

classification math.AGmath.RT

keywords clustercompositiondonaldson-thomasalgebrasalternativeapplicationconjecturesconsequently

verification ladder T0 review T1 audit T2 compute T3 formal

0 comments

abstract

We provide a transformation formula of non-commutative Donaldson-Thomas invariants under a composition of mutations. Consequently, we get a description of a composition of cluster transformations in terms of quiver Grassmannians. As an application, we give an alternative proof of Fomin-Zelevinsky's conjectures on $F$-polynomials and $g$-vectors.

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

The algebraic modular functor conjecture in type $A_n$ quantum Teichm\"uller theory
math.QA 2025-09 conditional novelty 8.0 of 10

The algebraic modular functor conjecture of Fock and Goncharov, that cutting a surface yields a canonical gluing isomorphism of the associated quantum algebras, is proven for type A_n (G = PGL(n+1)).

Pith tools