The Gromov Limit for Vortex Moduli Spaces

Abstract

We generalize the descriptions of vortex moduli spaces in Br to more than one section with adiabatic constant s. The moduli space is topologically independent of s but is not compact with respect to C∞ topology. Following PW, we construct a Gromov limit for vortices of fixed energy, an attempt to compactify the moduli space.

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