O ct 1 99 8 Braided n - categories and Σ - structures Lawrence

Braided N-categories and Σ-structures

We associate to any braided 2-groupoid with vanishing intermediate homotopy group a principal bundle (or torsor) endowed with a so-called Σ-structure, and show that this is the natural generalization to the 2-category context of the familiar quadratic invariant describing a braided groupoid. The corresponding structures for higher braided n-groupoids are also examined. This leads to the concept...

O ct 1 99 8 The moduli space M n ( Σ ) of stable fiber bundles over a compact Riemann surface A . Balan Ecole Polytechnique

An introduction to the moduli space of holomorphic fiber bundles M n (Σ) on a compact Riemann surface Σ is presented and a formula for the regularised determinant and an other for the symplectic form at trivial bundle is proposed. Classification AMS 53C07.

O ct 1 99 8 The moduli space M n ( Σ ) of stable fiber bundles over a compact Riemann surface A . Balan Ecole Polytechnique Centre

The moduli space of holomorphic fiber bundles M n (Σ) over a compact Riemann surface Σ is considered. A formula for the regularised determinant and an other for the symplectic form at trivial bundle are proposed.

ar X iv : h ep - p h / 99 10 24 8 v 1 6 O ct 1 99 9 1 Effect of σ ( 600 ) - Production in pp̄ → 3 π 0 at rest

m at h . Q A ] 2 5 O ct 1 99 8 Spherical 2 - categories and 4 - manifold invariants