Contents Online
Mathematical Research Letters
Volume 7 (2000)
Number 1
Harmonic Maps to Teichmüller Space
Pages: 133 – 146
DOI: https://dx.doi.org/10.4310/MRL.2000.v7.n1.a12
Authors
Abstract
We give sufficient conditions for the existence of equivariant harmonic maps from the universal cover of a Riemann surface $B$ to the Teichmüller space of a genus $g\geq 2$ surface $\Sigma$. The condition is in terms of the representation of the fundamental group of $B$ to the mapping class group of $\Sigma$. The metric on Teichmüller space is chosen to be the Kähler hyperbolic metric. Examples of such representations arise from symplectic Lefschetz fibrations.
Published 1 January 2000