The Yang-Mills Flow Near the Boundary of Teichmueller Space
We study the behavior of the Yang-Mills flow for unitary connections
on compact and non-compact oriented surfaces with varying metrics.
The two extremal cases considered are (1) when the metrics vary in
a set projecting to a compact set in the moduli of curves; and (2) when
the metrics tend to the Strebel boundary of Teichmueller space. The
motivation comes from an attempt to understand the dependence on the
underlying metric of the fibers of the "Hecke Correspondence",
which relates the moduli spaces of unitary representations of the
non-compact surface to those of its compactification.
This is joint work with G. Daskalopoulos.
Back to
Spring 1997 meeting of the PNGS.
Suggestions or corrections to
Jack Lee <lee@math.washington.edu>.