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

2016/04/07 by Rukmini Dey, Dey, Rukmini
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometry and complex manifolds #math.AG #math.DG

paper · pdf · doi:10.48550/arxiv.1604.02142

The contents of this note is contained in a published paper: Dey, R: Erratum: Geometric prequantization of the moduli space of the vortex equations on a Riemann surface" Journal of Mathematical Phys. 50, 119901 (2009)

arxiv created 2016/04/07 · openalex publication_date 2016/04/07 · arxiv updated 2016/04/11 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

In this note we quantize the usual symplectic (Kähler) form on the vortex moduli space by modifying the Quillen metric of the Quillen determinant line bundle.

Citations

• The Self-Duality Equations on a Riemann Surface

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