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- W2623240276 abstract "In this article, we study a generalisation of the Seiberg–Witten equations, replacing the spinor representation with a hyperKähler manifold equipped with certain symmetries. Central to this is the construction of a (non-linear) Dirac operator acting on the sections of the non-linear fibre-bundle. For hyperKähler manifolds admitting a hyperKähler potential, we derive a transformation formula for the Dirac operator under the conformal change of metric on the base manifold. As an application, we show that when the hyperKähler manifold is of dimension four, then, away from a singular set, the equations can be expressed as a second order PDE in terms of almost-complex structure on the base manifold, and a conformal factor. This extends a result of Donaldson to generalised Seiberg–Witten equations." @default.
- W2623240276 created "2017-06-15" @default.
- W2623240276 creator A5018525530 @default.
- W2623240276 date "2018-12-01" @default.
- W2623240276 modified "2023-09-29" @default.
- W2623240276 title "Generalised Seiberg–Witten equations and almost-Hermitian geometry" @default.
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- W2623240276 doi "https://doi.org/10.1016/j.geomphys.2018.08.009" @default.
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