Geometric quantization of the Hitchin system

DOI10.1142/S0219887817500645zbMath1364.53088arXiv1604.01650MaRDI QIDQ2977786

Rukmini Dey

Publication date: 20 April 2017

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.01650

zbMATH Keywords

geometric quantizationHitchin systemQuillen bundle

Mathematics Subject Classification ID

Geometric quantization (53D50)

Related Items (2)

Geometric prequantization of the Seiberg-Witten moduli space on the product of a Riemann surface ⋮ Quillen metrics and perturbed equations

Cites Work

• Unnamed Item
• Stable bundles and integrable systems
• Determinants of Cauchy-Riemann operators on a Riemann surface
• Volume of vortex moduli spaces
• The determinant bundle on the moduli space of stable triples over a curve
• Hyperkähler prequantization of the Hitchin system and Chern-Simons theory with complex gauge group
• HOLOMORPHIC QUILLEN DETERMINANT LINE BUNDLES ON INTEGRAL COMPACT KAHLER MANIFOLDS
• Erratum: “Geometric prequantization of the moduli space of the vortex equations on a Riemann surface” [J. Math. Phys. 47, 103501 (2006)]
• The Self-Duality Equations on a Riemann Surface

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