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

Rukmini Dey; Saibal Ganguli

arxiv: 1606.03810 · v5 · pith:GITS6DZMnew · submitted 2016-06-13 · 🧮 math.DG · math-ph· math.AG· math.AT· math.MP· math.SG

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

Rukmini Dey , Saibal Ganguli This is my paper

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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.

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

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