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nlin.SI2007★ 15 cited
Differential Fay identities and auxiliary linear problem of integrable hiearchies
Kanehisa Takasaki
We review the notion of differential Fay identities and demonstrate, through case studies, its new role in integrable hierarchies of the KP type. These identities are known to be a…
hep-th2007★ 60 cited
Melting Crystal, Quantum Torus and Toda Hierarchy
Toshio Nakatsu, Kanehisa Takasaki
Searching for the integrable structures of supersymmetric gauge theories and topological strings, we study melting crystal, which is known as random plane partition, from the viewp…