467 citations · 2k across the 86 of their papers we have counts for
4 papers · 2 filters
Modified melting crystal model and Ablowitz-Ladik hierarchy
Kanehisa Takasaki
This is a review of recent results on the integrable structure of the ordinary and modified melting crystal models. When deformed by special external potentials, the partition func…
Generalized Ablowitz-Ladik hierarchy in topological string theory
Kanehisa Takasaki
This paper addresses the issue of integrable structures in topological string theory on generalized conifolds. Open string amplitudes of this theory can be expressed as the matrix…
Modified melting crystal model and Ablowitz-Ladik hierarchy
Kanehisa Takasaki
This paper addresses the issue of integrable structure in a modified melting crystal model of topological string theory on the resolved conifold. The partition function can be expr…
Remarks on partition functions of topological string theory on generalized conifolds
Kanehisa Takasaki
The method of topological vertex for topological string theory on toric Calabi-Yau 3-folds is reviewed. Implications of an explicit formula of partition functions in the "on-strip"…