Weak UCP and perturbed monopole equations
  We give a simple proof of weak Unique Continuation Property for perturbed Dirac operators, using the Carleman inequality. We apply the result to a class of perturbations of the Seiberg-Witten monopole equations that arise in Floer theory. 
B.Booss-Bavnbek (Roskilde), M.Marcolli (MPI), B.L.Wang (Adelaide)