On the behavior of sequences of solutions to U(1) Seiberg-Witten systems in dimension 4

Abstract

This paper studies the behavior of sequences of solutions to Seiberg-Witten like equations for a pair consisting of a Hermitian connection on a line bundle over a 4-dimensional manifold and a section of the self-dual spinor bundle of a complex Clifford module on the manifold. Examples include the cases where the Clifford module is a direct sum of C2 bundles associated to SpinC structures; and the case of the SU(2) Vafa-Witten equations with an Abelian ansatz.