Seiberg-Witten invariants for manifolds with b_+=1, and the universal wall crossing formula

Andrei Teleman (1) , Christian Okonek (1)

1 Institut für Mathematik [Zürich]

In this paper we describe the Seiberg-Witten invariants, which have been introduced by Witten, for manifolds with b_+=1. In this case the invariants depend on a chamber structure, and there exists a universal wall crossing formula. For every Kähler surface with p_g=0 and q=0, these invariants are non-trivial for all Spin^c(4)-structures of non-negative index.

Mots clés: Seiberg-Witten invariants; complex surfaces

Domaines: Géométrie différentielle [math.DG]; Géométrie algébrique [math.AG]

Andrei Teleman, Christian Okonek. Seiberg-Witten invariants for manifolds with b_+=1, and the universal wall crossing formula. International Journal of Mathematics, 1996, 7 (6), pp.811-832. ⟨10.1142/S0129167X96000438⟩. ⟨hal-00881771⟩