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

On the behavior of sequences of solutions to U(1) Seiberg-Witten systems in dimension 4
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关于 U(1) Seiberg-Witten 系统 4 维解序列的行为

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发表时间:
2016
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通讯作者:
C. Taubes
C. Taubes
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作者:
C. Taubes

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本文研究了由4维流形上的线丛上的Hermite联络和流形上的复Clifford模的自对偶旋量丛组成的一对Seiberg-Witten方程解的序列的性态。例子包括Clifford模是与SpinC结构相关的C2丛的直和的情况;以及带有Abel ansatz的SU(2)Vafa-Witten方程的情况。
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.