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Monopole Equations on 8-Manifolds with Spin(7) Holonomy

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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.

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Received: 17 October 1997 / Accepted: 16 November 1998

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Bilge, A., Dereli, T. & Koçak, Ş. Monopole Equations on 8-Manifolds with Spin(7) Holonomy. Comm Math Phys 203, 21–30 (1999). https://doi.org/10.1007/s002200050024

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  • DOI: https://doi.org/10.1007/s002200050024

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