Poincare invariants are Seiberg-Witten invariants
  We prove a conjecture of Durr, Kabanov and Okonek which provides an algebro-geometric theory of Seiberg-Witten invariants for all smooth projective surfaces. Our main technique is the cosection localization principle of virtual cycles. 
Huai-liang Chang and Young-Hoon Kiem
math.AG