Geometric quantization of the moduli space of the self-duality equations on a Riemann surface

DOI10.1016/S0034-4877(06)80016-9zbMath1099.53021arXivmath-ph/0605026OpenAlexW2011077572MaRDI QIDQ2507363

Rukmini Dey

Publication date: 10 October 2006

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

Full work available at URL: https://arxiv.org/abs/math-ph/0605026

zbMATH Keywords

moment mapgeometric quantizationQuillen determinant line bundle

Mathematics Subject Classification ID

Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Momentum maps; symplectic reduction (53D20) Determinants and determinant bundles, analytic torsion (58J52) Geometric quantization (53D50)

Related Items (2)

Geometric prequantization of the moduli space of the vortex equations on a Riemann surface ⋮ On the geometric quantization of the ro-vibrational motion of homonuclear diatomic molecules

Cites Work

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• Geometric quantization of Chern-Simons gauge theory
• 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
• Symplectic and hyper-Kähler structures in a dimensional reduction of the Seiberg-Witten equations with a Higgs field
• Quantum Chern–Simons vortices on a sphere
• The Self-Duality Equations on a Riemann Surface
• The Yang-Mills equations over Riemann surfaces

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