The Gromov limit for vortex moduli spaces

被引:0
作者
La Nave, Gabriele [1 ]
Liu, Chih-Chung [2 ]
机构
[1] Univ Illinois, Urbana, IL 61801 USA
[2] Natl Cheng Kung Univ, Dept Math, Tainan, Taiwan
关键词
Vortex equations; moduli spaces; bubbling; bubble tree; PSEUDO-HOLOMORPHIC-CURVES; REMOVABLE SINGULARITIES; VORTICES; BUNDLES; MAPS;
D O I
10.1142/S0129055X19500041
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We generalize the descriptions of vortex moduli spaces in [4] 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-infinity 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).
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页数:37
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