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arxiv: 1310.7737 · v1 · pith:3WS6UBG7new · submitted 2013-10-29 · 🧮 math.GT · math.DG

The stable homotopy theory of vortices on Riemann surfaces

classification 🧮 math.GT math.DG
keywords homotopyriemannstablesurfacesbauerclassesdimensionalequations
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The purpose of these notes is to show that the methods introduced by Bauer and Furuta in order to refine the Seiberg-Witten invariants of smooth 4-dimensional manifolds can also be used to obtain stable homotopy classes from Riemann surfaces, using the vortex equations on the latter.

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