The dimension of the Hilbert Space of Geometic quantization of vortices on a Riemann surface

Abstract

In this article we calculate the dimension of the Hilbert space of Kahler quantization of the moduli space of vortices on a Riemann surface. This dimension is given by the holomorphic Euler characteristic of the quantum line bundle.

arXiv commentWritten in a more reader friendly way

References in corpus (3)

• Volume of Vortex Moduli Spaces
• Quantum Chern-Simons Vortices on a Sphere
• Holomorphic Quillen determinant line bundles on integral compact Kahler manifolds

Cited by in corpus (1)

• Vortex counting and the quantum Hall effect