Communications in Mathematical Physics

, Volume 155, Issue 2, pp 311–324 | Cite as

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

  • Hiroshi Konno


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.


Neural Network Statistical Physic Complex System Nonlinear Dynamics Modulus Space 
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Copyright information

© Springer-Verlag 1993

Authors and Affiliations

  • Hiroshi Konno
    • 1
  1. 1.Department of MathematicsTokyo Metropolitan UniversityTokyoJapan

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