Abstract
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.
Citation
Kentaro Nagao. "Donaldson–Thomas theory and cluster algebras." Duke Math. J. 162 (7) 1313 - 1367, 15 May 2013. https://doi.org/10.1215/00127094-2142753
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