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arxiv: 1702.05013 · v2 · pith:KADNS4OLnew · submitted 2017-02-16 · 🧮 math-ph · math.MP

The Gromov Limit for Vortex Moduli Spaces

classification 🧮 math-ph math.MP
keywords modulicitegromovlimitspacespacesvortexadiabatic
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We generalize the descriptions of vortex moduli spaces in \cite{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 $C^\infty$ topology. Following \cite{PW}, we construct a Gromov limit for vortices of fixed energy, an attempt to compactify the moduli space.

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