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Final Description of the Asymptotic of the Monodromy

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A Spectral Theory for Simply Periodic Solutions of the Sinh-Gordon Equation

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 2229))

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Abstract

Resulting from the interpolation theorems from Chap. 10 and by using the asymptotic spaces introduced in Chap. 9, we can now describe the asymptotics of the monodromy, its discriminant Δ 2 − 4 and also of the extended frame in their final form. Moreover, we now prove the refined asymptotics for the branch points ϰk,ν of the spectral curve, which are analogous to Corollary 8.2 for the spectral divisor, and which had been postponed in Chap. 8.

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Klein, S. (2018). Final Description of the Asymptotic of the Monodromy. In: A Spectral Theory for Simply Periodic Solutions of the Sinh-Gordon Equation. Lecture Notes in Mathematics, vol 2229. Springer, Cham. https://doi.org/10.1007/978-3-030-01276-2_11

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