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math.AG2010★ 11 cited
On higher rank Donaldson-Thomas invariants
Kentaro Nagao
We study higher rank Donaldson-Thomas invariants of a Calabi-Yau 3-fold using Joyce-Song's wall-crossing formula. We construct quivers whose counting invariants coincide with the D…
math.AG2010★ 52 cited
Donaldson-Thomas theory and cluster algebras
Kentaro Nagao
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…