Geometric prequantization of the Seiberg-Witten moduli space on the product of a Riemann surface

DOI10.7546/jgsp-64-2022-1-8zbMath1524.14025arXiv2203.15997OpenAlexW4312671023MaRDI QIDQ6045378

Rukmini Dey

Publication date: 26 May 2023

Published in: Journal of Geometry and Symmetry in Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.15997

zbMATH Keywords

moduli spacesSeiberg-Witten equationsgeometric quantizationQuillen bundle

Mathematics Subject Classification ID

Geometry and quantization, symplectic methods (81S10) Determinants and determinant bundles, analytic torsion (58J52) Symplectic structures of moduli spaces (53D30) Geometric quantization (53D50) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21)

Cites Work

• Unnamed Item
• Generalized Seiberg-Witten equations on a Riemann surface
• Topology, geometry and physics: background for the Witten conjecture. I
• Kähler quantization of vortex moduli
• Hyperkähler prequantization of the Hitchin system and Chern-Simons theory with complex gauge group
• Topology, geometry and physics: background for the Witten conjecture. II
• Geometric quantization of the Hitchin system
• Geometric prequantization of the moduli space of the vortex equations on a Riemann surface

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