嫁接双曲度量与Eisenstein级数
Grafting hyperbolic metrics and Eisenstein series
摘要：
将管道簇$\{zw=t\}$的族双曲度量与非全纯Eisenstein级数$E(ζ;2)$相结合，给出了退化黎曼曲面族双曲度量的显式展开.应用包括渐近展开的Weil-Petersson度量和局部形式的辛约化。
英文摘要：
The family hyperbolic metric for the plumbing variety $\{zw=t\}$ and the non holomorphic Eisenstein series $E(ζ;2)$ are combined to provide an explicit expansion for the hyperbolic metrics for degenerating families of Riemann surfaces. Applications include an asymptotic expansion for the Weil-Petersson metric and a local form of symplectic reduction.
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