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The Gromov limit for vortex moduli spaces

Gabriele La Nave

http://orcid.org/0000-0003-3976-6321

University of Illinois, Urbana-Champaign, IL, USA

E-mail Address: lanave@illinois.edu

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and

Chih-Chung Liu

Department of Mathematics, National Cheng-Kung University, Tainan, Taiwan

E-mail Address: cliu@mail.ncku.edu.tw

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https://doi.org/10.1142/S0129055X19500041Cited by:0 (Source: Crossref)

Abstract

We generalize the descriptions of vortex moduli spaces in [4] to more than one section with adiabatic constant $s$ $s$ . The moduli space is topologically independent of $s$ $s$ but is not compact with respect to $C^{\infty}$ $C^{\infty}$ topology. Following [17], we construct a Gromov limit for vortices of fixed energy, and attempt to compactify the moduli space via bubble trees with possibly conical bubbles (or raindrops).

Keywords:

AMSC: 53C07

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