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Monopole equations on 8-manifolds with spin(7) holonomy

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1999-05-01
Bilge, AH
Dereli, T
Kocak, S
We construct a consistent set of monopole equations on eight-manifolds with Spin(7) holonomy. These equations are elliptic and admit non-trivial solutions including all the 4-dimensional Seiberg-Witten solutions as a special case.