热带Lambda线性度、测量的分层和凸度
Tropicalized Lambda Lengths, Measured Laminations and Convexity
摘要：
这项工作揭示了热带模拟测量分层的凸包建设装饰Teichmueller理论，即，它是一个研究坐标的几何退化到一个点的Thurston的边界Teichmueller空间。这可能提供了一个范例的基本胞腔剖分的黎曼模空间的其他情况下，一般的模空间的平面连接的表面上的扩展。在任何情况下，这种讨论大大简化了以前的相关研究的方面，如所解释的。此外，一类新的测量分层相对于一个理想的胞腔剖分的表面被发现的限制。最后，将Minkowski空间中凸包构造的热带类似物表示为一个显式算法，该算法对关于固定层的三角剖分进行了串行简化，并有其独立的应用。
英文摘要：
This work uncovers the tropical analogue for measured laminations of the convex hull construction of decorated Teichmueller theory, namely, it is a study in coordinates of geometric degeneration to a point of Thurston's boundary for Teichmueller space. This may offer a paradigm for the extension of the basic cell decomposition of Riemann's moduli space to other contexts for general moduli spaces of flat connections on a surface. In any case, this discussion drastically simplifies aspects of previous related studies as is explained. Furthermore, a new class of measured laminations relative to an ideal cell decomposition of a surface is discovered in the limit. Finally, the tropical analogue of the convex hull construction in Minkowski space is formulated as an explicit algorithm that serially simplifies a triangulation with respect to a fixed lamination and has its own independent applications.
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