Mathematics – Complex Variables
Scientific paper
2007-04-24
Mathematics
Complex Variables
Published in Mathematischen Annalen, 2008. The original publication is available at http://www.springerlink.com
Scientific paper
The family hyperbolic metric for the plumbing variety $\{zw=t\}$ and the non
holomorphic Eisenstein series $E(\zeta;2)$ 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.
Obitsu Kunio
Wolpert Scott A.
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