52 citations · 237 across the 13 of their papers we have counts for
13 papers
Hyperbolic 3-manifolds and Cluster Algebras
Kentaro Nagao, Yuji Terashima, Masahito Yamazaki
We advocate the use of cluster algebras and their y-variables in the study of hyperbolic 3-manifolds. We study hyperbolic structures on the mapping tori of pseudo-Anosov mapping cl…
Motivic Donaldson-Thomas invariants of toric small crepant resolutions
Andrew Morrison, Kentaro Nagao
We compute the motivic Donaldson-Thomas theory of small crepant resolutions of toric Calabi-Yau 3-folds.
Motivic Donaldson-Thomas invariants of the conifold and the refined topological vertex
Andrew Morrison, Sergey Mozgovoy, Kentaro Nagao +1
We compute the motivic Donaldson-Thomas theory of the resolved conifold, in all chambers of the space of stability conditions of the corresponding quiver. The answer is a product f…
Wall-crossing of the motivic Donaldson-Thomas invariants
Kentaro Nagao
We study motivic Donaldson-Thomas invariants in the sense of Behrend-Bryan-Szendroi. A wall-crossing formula under a mutation is proved for a certain class of quivers with potentia…
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…
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…