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Donaldson–Thomas theory and cluster algebras
Kentaro Nagao
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Source: Crossref
Published: May 1, 2013
DOI: 10.1215/00127094-2142753
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We provide a transformation formula of the (Euler characteristic version of the) 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 provide alternative proofs of Fomin–Zelevinsky conjectures on cluster algebras.
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