Yang-Mills heat flow on gauged holomorphic maps

Yang-Mills heat flow on gauged holomorphic maps"

I consider the space of gauged holomorphic maps from a Riemann surface to
a compact Kähler manifold, and study the gradient flow of Yang-Mills
type functional, whose zeros are vortices. The flow exists for all time.
When the Riemann surface has boundary, the flow lines converge
to a vortex leading to a Hitchin-Kobayashi correspondence.