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On the natural line bundle on the moduli space of stable parabolic bundles

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Abstract

We construct the natural holomorphic line bundle on the moduli space of stable parabolic bundles on a compact marked Riemann surface, which is the prequantum line bundle for the Chern-Simons gauge theory. The fusion rule in the Chern-Simons gauge theory can be viewed as the existence condition of this line bundle.

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Authors and Affiliations

  1. Department of Mathematics, Tokyo Metropolitan University, Minami-Ohsawa 1-1, Hachioji-shi, 192-03, Tokyo, Japan

    Hiroshi Konno

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  1. Hiroshi Konno
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Communicated by G. Felder

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Konno, H. On the natural line bundle on the moduli space of stable parabolic bundles. Commun.Math. Phys. 155, 311–324 (1993). https://doi.org/10.1007/BF02097396

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  • DOI: https://doi.org/10.1007/BF02097396

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