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arxiv: 1703.06329 · v1 · pith:UIWSZFAFnew · submitted 2017-03-18 · 🧮 math.DG · math-ph· math.MP

G2 instantons and the Seiberg-Witten monopoles

Andriy Haydys This is my paper
classification 🧮 math.DG math-phmath.MP
keywords instantonsmonopolesrelationseiberg-wittenarticleconjecturalconnecteddescribe
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I describe a relation (mostly conjectural) between the Seiberg-Witten monopoles, Fueter sections, and G2 instantons. In the last part of this article I gathered some open questions connected with this relation.

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  1. Gluing $\mathbb Z_2$-Harmonic Spinors and Seiberg-Witten Monopoles on 3-Manifolds

    math.DG 2024-02 unverdicted novelty 7.0

    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.