467 citations · 2k across the 86 of their papers we have counts for
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math-ph2012★ 3 cited
Integrable structure of modified melting crystal model
Kanehisa Takasaki
Our previous work on a hidden integrable structure of the melting crystal model (the U(1) Nekrasov function) is extended to a modified crystal model. As in the previous case, "shif…
math-ph2012★ 1 cited
Old and New Reductions of Dispersionless Toda Hierarchy
Kanehisa Takasaki
This paper is focused on geometric aspects of two particular types of finite-variable reductions in the dispersionless Toda hierarchy. The reductions are formulated in terms of "La…
math-ph2012★ 22 cited
Pfaffian structures and certain solutions to BKP hierarchies I. Sums over partitions
A. Yu. Orlov, T. Shiota, K. Takasaki
We introduce a useful and rather simple class of BKP tau functions which which we shall call "easy tau functions". We consider two versions of BKP hierarchy, one we will call "smal…