The asymptotic behavior of the Takhtajan-Zograf metric
Abstract
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The Takhtajan-Zograf metric is a metric defined on the
Teichmüller space for Riemann surfaces of type (g, n) with n
> 0. Similar to the Weil-Petersson metric, the Takhtajan Zograf metric is
an incomplete Kähler metric invariant under the Teichmüller modular group. In this talk, I will describe a recent joint work with K. Obitsu
and L. Weng on the asymptotic behavior of this metric. |