Classification of U(1)-vortices with target ℂN

DOI10.1142/S0129167X15501098zbMath1336.53093MaRDI QIDQ2788777

GuangBo Xu

Publication date: 22 February 2016

Published in: International Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Maslov indexadiabatic limitKazdan-Warner equationaffine vortex

Mathematics Subject Classification ID

Momentum maps; symplectic reduction (53D20)

Related Items (4)

Gluing affine vortices ⋮ Local model for moduli space of affine vortices ⋮ Classification of affine vortices ⋮ The Gromov limit for vortex moduli spaces

Cites Work

• Quantum Kirwan morphism and Gromov-Witten invariants of quotients. II
• Classification of affine vortices
• Special metrics and stability for holomorphic bundles with global sections
• The invariant symplectic action and decay for vortices
• Gromov-Witten invariants of symplectic quotients and adiabatic limits
• A Quantum Kirwan Map, I: Fredholm Theory
• A Direct Existence Proof for the Vortex Equations Over a Compact Riemann Surface
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