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

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.