The moduli space ${\cal M}_n(\Si)$ of stable fiber bundles over a   compact Riemann surface
  The moduli space of holomorphic fiber bundles ${\cal M}_n(\Si)$ over a compact Riemann surface $\Si$ is considered.   A formula for the regularised determinant and an other for the symplectic form at trivial bundle are proposed. 
Antoine Balan (Ecole Polytechnique)