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arXiv · 1702.05013

The Gromov Limit for Vortex Moduli Spaces

Gabriele La Nave·Chih-Chung Liu
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Abstract

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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Gabriele La Nave, Chih-Chung Liu. 2017-03-20. The Gromov Limit for Vortex Moduli Spaces. https://doi.org/10.1142/s0129055x19500041

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