125 citations · 478 across the 32 of their papers we have counts for
32 papers
Three-partition Hodge integrals and the topological vertex
Toshio Nakatsu, Kanehisa Takasaki
A conjecture on the relation between the cubic Hodge integrals and the topological vertex in topological string theory is resolved. A central role is played by the notion of genera…
-Difference Kac-Schwarz Operators in Topological String Theory
Kanehisa Takasaki, Toshio Nakatsu
The perspective of Kac-Schwarz operators is introduced to the authors' previous work on the quantum mirror curves of topological string theory in strip geometry and closed topologi…
Open string amplitudes of closed topological vertex
Kanehisa Takasaki, Toshio Nakatsu
The closed topological vertex is the simplest ``off-strip'' case of non-compact toric Calabi-Yau threefolds with acyclic web diagrams. By the diagrammatic method of topological ver…
ADHM Construction of Noncommutative Instantons
Masashi Hamanaka, Toshio Nakatsu
We discuss the Atiyah-Drinfeld-Hitchin-Manin (ADHM) construction of U(N) instantons in noncommutative (NC) space and prove the one-to-one correspondence between moduli spaces of th…
Thermodynamic limit of random partitions and dispersionless Toda hierarchy
Kanehisa Takasaki, Toshio Nakatsu
We study the thermodynamic limit of random partition models for the instanton sum of 4D and 5D supersymmetric U(1) gauge theories deformed by some physical observables. The physica…
Integrable structure of melting crystal model with external potentials
Toshio Nakatsu, Kanehisa Takasaki
This is a review of the authors' recent results on an integrable structure of the melting crystal model with external potentials. The partition function of this model is a sum over…