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arXiv · 1610.07163

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

Clifford Henry Taubes
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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.

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Clifford Henry Taubes. 2016-10-23. On the behavior of sequences of solutions to U(1) Seiberg-Witten systems in dimension 4. https://arxiv.org/abs/1610.07163

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