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arXiv · 1003.0057

Tropical spectral curves, Fay's trisecant identity, and generalized ultradiscrete Toda lattice

Rei Inoue·Shinsuke Iwao
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Abstract

We study the generalized ultradiscrete periodic Toda lattice T(M,N) which has tropical spectral curve. We introduce a tropical analogue of Fay's trisecant identity, and apply it to construct a general solution to T(M,N).

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Rei Inoue, Shinsuke Iwao. 2010-05-09. Tropical spectral curves, Fay's trisecant identity, and generalized ultradiscrete Toda lattice. https://doi.org/10.1142/9789814324373_0006

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