Classification of U(1)-vortices with target N Academic Article uri icon


  • We study the symplectic vortex equation over the complex plane, for the target space [Formula: see text] ([Formula: see text]) with diagonal [Formula: see text]-action. Using adiabatic limit argument, we classify all solutions with finite energy and identify their moduli spaces, which generalizes Taubes result for [Formula: see text].

published proceedings

  • International Journal of Mathematics

author list (cited authors)

  • Xu, G.

citation count

  • 4

complete list of authors

  • Xu, Guangbo

publication date

  • December 2015