KTH/SU Mathematics Colloquium
Franc Forstneric, Univ. of Lyublyana
Complex manifolds, holomorphic mappings and gauge theory
One believes that there are many more continuous maps
than holomorphic maps between any pair of complex manifolds.
But is this really always so? In this talk we shall discuss
conditions which insure that every continuous map can be
deformed to a holomorphic one, possibly after a change of
the complex structure on the source manifold. For manifolds of
real dimension four, gauge theory provides interesting additional
insight and limitations. Can there be an analogue in higher dimensions?