The Gromov limit for vortex moduli spaces

Gabriele La Nave; Chih Chung Liu

doi:10.1142/S0129055X19500041

The Gromov limit for vortex moduli spaces

Gabriele La Nave
, Chih Chung Liu

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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∞ 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).

Original language	English (US)
Article number	1950004
Journal	Reviews in Mathematical Physics
Volume	31
Issue number	2
Early online date	Feb 27 2019
DOIs	https://doi.org/10.1142/S0129055X19500041
State	Published - Mar 1 2019

Keywords

bubble tree
bubbling
moduli spaces
Vortex equations

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

Online availability

10.1142/S0129055X19500041

Library availability

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abstract = "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∞ 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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KW - moduli spaces

KW - Vortex equations

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The Gromov limit for vortex moduli spaces

Abstract

Keywords

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