Vortex equations

DOI10.1016/S0034-4877(97)85931-9zbMath0907.58010OpenAlexW4210802621WikidataQ125101136 ScholiaQ125101136MaRDI QIDQ1387191

Armen Glebovich Sergeev

Publication date: 2 June 1998

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(97)85931-9

zbMATH Keywords

Kähler surfaceSeiberg-Witten equationsRiemann surfacesuperconductivityvortex equations

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30) Statistical mechanics of superconductors (82D55) Applications of global analysis to structures on manifolds (57R57)

Cites Work

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• The Seiberg-Witten and Gromov invariants
• Curvature functions for compact 2-manifolds
• Vortices in holomorphic line bundles over closed Kähler manifolds
• Anti Self-Dual Yang-Mills Connections Over Complex Algebraic Surfaces and Stable Vector Bundles
• A Direct Existence Proof for the Vortex Equations Over a Compact Riemann Surface
• THE COUPLED SEIBERG-WITTEN EQUATIONS, VORTICES, AND MODULI SPACES OF STABLE PAIRS
• Seiberg-Witten Invariants and the Van De Ven Conjecture
• The Seiberg-Witten equations and 4-manifold topology