Geometric Quantization of the moduli space of the vortex equations on a Riemann surface
Differential Geometry
2016-04-11 v1 Algebraic Geometry
Abstract
In this note we quantize the usual symplectic (K\"{a}hler) form on the vortex moduli space by modifying the Quillen metric of the Quillen determinant line bundle.
Keywords
Cite
@article{arxiv.1604.02142,
title = {Geometric Quantization of the moduli space of the vortex equations on a Riemann surface},
author = {Rukmini Dey},
journal= {arXiv preprint arXiv:1604.02142},
year = {2016}
}
Comments
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)