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Harmonic Bundles and Toda Lattices With Opposite Sign II

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Abstract

We study the integrable variation of twistor structure associated to any solution of the Toda lattice with opposite sign. In particular, we give a criterion when it has an integral structure. It follows from two results. One is the explicit computation of the Stokes factors of a certain type of meromorphic flat bundles. The other is an explicit description of the meromorphic flat bundle associated to the solution of the Toda equation. We use the opposite filtration of the limit mixed twistor structure with an induced torus action.

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  1. RIMS, Kyoto University, Kyoto, Japan

    Takuro Mochizuki

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  1. Takuro Mochizuki
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Correspondence to Takuro Mochizuki.

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Communicated by P. Deift

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Mochizuki, T. Harmonic Bundles and Toda Lattices With Opposite Sign II. Commun. Math. Phys. 328, 1159–1198 (2014). https://doi.org/10.1007/s00220-014-1994-0

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  • DOI: https://doi.org/10.1007/s00220-014-1994-0

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