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

Yıl 2017, Cilt: 5 Sayı: 1, 187 - 192, 03.04.2017

SERHAN Eker

Öz

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.

Anahtar Kelimeler

Seiberg-Witten equations; spinor; Dirac operator, curvature, self-duaility.

Kaynakça

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• [4] Friedrich T., Dirac operators in Riemannian geometry, Graduate Studies in Mathematics, American Mathematical Society, Providence, Rhlode Island, 25; 2000.
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• [6] Witten, E., Monopoles and four manifolds, Math Res Lett 1994; 1 : 769-796.