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.

References in corpus (1)

• The zero loci of Z/2 harmonic spinors in dimension 2, 3 and 4

Cited by in corpus (5)

• Some boundedness properties of solutions to the Vafa-Witten equations on closed four-manifolds
• On the compactness problem for a family of generalized Seiberg-Witten equations in dimension three
• The behavior of sequences of solutions to the Vafa-Witten equations
• Growth of the Higgs field for solutions to the Kapustin-Witten equations on R^4
• Index theorem for Z/2-harmonic spinors