Constructs 1-parameter families of two-spinor Seiberg-Witten monopoles converging to generic Z2-harmonic spinors via gluing with a generalized alternating method to cancel infinite-dimensional obstructions.
On the behavior of sequences of solutions to U(1) Seiberg–Witten systems in dimension 4
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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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math.DG 2verdicts
UNVERDICTED 2representative citing papers
Novel homogeneous singularity models for Z/2-harmonic forms and spinors on R^4 are built as cones on the 1-skeleta of regular 4-polytopes.
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Gluing $\mathbb Z_2$-Harmonic Spinors and Seiberg-Witten Monopoles on 3-Manifolds
Constructs 1-parameter families of two-spinor Seiberg-Witten monopoles converging to generic Z2-harmonic spinors via gluing with a generalized alternating method to cancel infinite-dimensional obstructions.
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Homogeneous $\mathbb Z/2$-Harmonic Forms and Spinors on $\mathbb{R}^4$ from Regular 4-Polytopes
Novel homogeneous singularity models for Z/2-harmonic forms and spinors on R^4 are built as cones on the 1-skeleta of regular 4-polytopes.