Seiberg-Witten Equations on Four-Dimensional Lorentzian Spin(C) Manifolds
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New kind of spinors are introduced on four-dimensional Lorentzian Spin(c) manifolds in . We define Dirac operator on such spinors. In  Seiberg-Witten-like equations are written down on Minkowski space. In the present work we generalize these equations to four-dimensional Lorentzian Spin(c)-manifolds.