52 citations · 237 across the 13 of their papers we have counts for
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hep-th2009★ 11 cited
The Non-commutative Topological Vertex and Wall Crossing Phenomena
Kentaro Nagao, Masahito Yamazaki
We propose a generalization of the topological vertex, which we call the "non-commutative topological vertex". This gives open BPS invariants for a toric Calabi-Yau manifold withou…
math.AG2009★ 8 cited
Non-commutative Donaldson-Thomas theory and vertex operators
Kentaro Nagao
In arXiv:0907.3784, we introduced a variant of non-commutative Donaldson-Thomas theory in a combinatorial way, which is related with topological vertex by a wall-crossing phenomeno…
math.AG2009★ 17 cited
Refined open non-commutative Donaldson-Thomas invariants for small crepant resolutions
Kentaro Nagao
The aim of this paper is to study an analog of non-commutative Donaldson-Thomas theory corresponding to the refined topological vertex for small crepant resolutions of toric Calabi…