467 citations · 2k across the 86 of their papers we have counts for
Showing 2018 · math-phShow all
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math-ph2018★ 2 cited
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…
math-ph2018★ 5 cited
Hurwitz numbers and integrable hierarchy of Volterra type
Kanehisa Takasaki
A generating function of the single Hurwitz numbers of the Riemann sphere is a tau function of the lattice KP hierarchy. The associated Lax operator turns out t…
math-ph2018★ 41 cited
Toda hierarchies and their applications
Kanehisa Takasaki
The 2D Toda hierarchy occupies a central position in the family of integrable hierarchies of the Toda type. The 1D Toda hierarchy and the Ablowitz-Ladik (aka relativistic Toda) hie…