Geometric prequantization of the moduli space of the vortex equations on a Riemann surface

DOI10.1063/1.2352858zbMath1112.53064arXivmath-ph/0605025OpenAlexW3100210098MaRDI QIDQ3442068

Rukmini Dey

Publication date: 16 May 2007

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0605025

Mathematics Subject Classification ID

Kähler manifolds (32Q15) Determinants and determinant bundles, analytic torsion (58J52) Symplectic structures of moduli spaces (53D30) Geometric quantization (53D50)

Related Items (4)

Quillen bundle and geometric prequantization of non-abelian vortices on a Riemann surface ⋮ Geometric prequantization of the Seiberg-Witten moduli space on the product of a Riemann surface ⋮ Kähler quantization of vortex moduli ⋮ Erratum: “Geometric prequantization of the moduli space of the vortex equations on a Riemann surface” [J. Math. Phys. 47, 103501 (2006)]

Cites Work

• Unnamed Item
• Vortex equations in Abelian gauged \(\sigma\)-models
• Determinants of Cauchy-Riemann operators on a Riemann surface
• The analysis of elliptic families. I: Metrics and connections on determinant bundles
• Quantum field theory and the Jones polynomial
• Vortex scattering
• Volume of vortex moduli spaces
• First order vortex dynamics
• The determinant bundle on the moduli space of stable triples over a curve
• Geometric quantization of the moduli space of the self-duality equations on a Riemann surface
• Quantum Chern–Simons vortices on a sphere
• The Kähler potential of Abelian Higgs vortices
• The Self-Duality Equations on a Riemann Surface
• The dynamics of vortices on S2 near the Bradlow limit

This page was built for publication: Geometric prequantization of the moduli space of the vortex equations on a Riemann surface