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Topological Solitons from Geometry

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Topological Dynamics in the Physical and Biological Sciences

Solitons are localised non-singular lumps of energy which describe particles non perturbatively. Finding the solitons usually involves solving nonlinear differential equations, but I shall show that in some cases the solitons emerge directly from the underlying space-time geometry: certain abelian vortices arise from surfaces of constant mean curvature in Minkowski space, and skyrmions can be constructed from the holonomy of gravitational instantons.

This talk is part of the Isaac Newton Institute Seminar Series series.

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