论文标题

二聚体的逆频谱图

The inverse spectral map for dimers

论文作者

George, Terrence, Goncharov, Alexander, Kenyon, Richard

论文摘要

2015年,弗拉基米尔·福克(Vladimir Fock)证明,光谱变换与二聚体群集集成系统的元素相关的频谱数据是birational,它是通过使用theta函数在光谱曲线的jacobian上构建逆映射来实现的。我们提供了反向图的替代结构,该构造仅涉及光谱数据中的有理函数。

In 2015, Vladimir Fock proved that the spectral transform, associating to an element of a dimer cluster integrable system its spectral data, is birational by constructing an inverse map using theta functions on Jacobians of spectral curves. We provide an alternate construction of the inverse map that involves only rational functions in the spectral data.

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