Abstract
We study a variational Ginzburg–Landau-type model depending on a small parameter ε>0 for (tangent) vector fields on a 2-dimensional Riemannian surface. As ε→0, the vector fields tend to be of unit length and will have singular points of a (non-zero) index, called vortices. Our main result determines the interaction energy between these vortices as a Γ-limit (at the second order) as ε→0.
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