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Journals / Konuralp Journal of Mathematics / 2026 / Volume: 5 Issue: 1

THE EQUIVALENCE OF TWO APPROACHES OF SEIBERG-WITTEN EQUATIONS IN 8-DIMENSION

SERHAN Eker(Ağrı İbrahim Çeçen University, Science and Art Faculty, Department of Mathematics, Ağrı, Turkey)
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Publication Date
2017-04-03
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Finally we show the equivalence between them.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Seiberg-Witten equations which are formed by Dirac equation and Curvature-equation, have some generalizations on 8􀀀dimensional manifold [1, 3, 5].
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Key Findings & Data:In this paper we consider the $Spin^c$-structure which was given in [1].
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Conclusion & Impact:Finally we show the equivalence between them.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Seiberg-Witten equations · spinor · Dirac operator

Abstract

Seiberg-Witten equations which are formed by Dirac equation and Curvature-equation, have some generalizations on 8􀀀dimensional manifold [1, 3, 5]. In this paper we consider the $Spin^c$-structure which was given in [1]. Then by using this $Spin^c$-structure, we examine the curvature equations which were given in [1, 3]. Finally we show the equivalence between them.

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Cite This Article

Eker, S. (2017). THE EQUIVALENCE OF TWO APPROACHES OF SEIBERG-WITTEN EQUATIONS IN 8-DIMENSION. Konuralp Journal of Mathematics, Volume: 5 Issue: 1. https://ajindex.com/articles/1521856

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References (8)

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  7. Gao YH., Tian G., Instantons and the monopole-like equations in eight dimensions, J High Energy Phys 2000; 5: 036.
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