Grafting hyperbolic metrics and Eisenstein series
Complex Variables
2008-02-04 v2 Algebraic Geometry
Abstract
The family hyperbolic metric for the plumbing variety and the non holomorphic Eisenstein series 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.
Cite
@article{arxiv.0704.3169,
title = {Grafting hyperbolic metrics and Eisenstein series},
author = {Kunio Obitsu and Scott A. Wolpert},
journal= {arXiv preprint arXiv:0704.3169},
year = {2008}
}