Non-abelian Seiberg-Witten theory and stable oriented pairs

Andrei Teleman (1)

1 Institut für Mathematik [Zürich]

The ai of this paper is to develop a systematic theory of non-abelian Seiberg-Witten equations. The equations we introduce and study are associated with a Spin^G(4)-structure, where G is a closed subgroup of the unitary group U(V) containing the involution -id_V

Mots clés: stable pairs; Seiberg-Witten theory; PU(2)-monopoles

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

Andrei Teleman. Non-abelian Seiberg-Witten theory and stable oriented pairs. International Journal of Mathematics, 1997, 8 (4), pp.507-535. ⟨10.1142/S0129167X97000263⟩. ⟨hal-00881769⟩