模空间上测地线层的正交谱与双对数恒等式
Orthospectra of Geodesic Laminations and Dilogarithm Identities on Moduli Space
摘要：
给定有限面积双曲曲面上的一个测得的叠层，我们考虑在与叠层相关联的交函数下，将该曲面的单位切丛的体积测度向前推，得到实直线上的一个自然测度M。我们证明了测度M给出曲面的模空间上的Rogers双对数函数的求和恒等式。
英文摘要：
Given a measured lamination on a finite area hyperbolic surface we consider a natural measure Mon the real line obtained by taking the push-forward of the volume measure of the unit tangent bundle of the surface under an intersection function associated with the lamination. We show that the measure M gives summation identities for the Rogers dilogarithm function on the moduli space of a surface.
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