Chern–Simons models on [formula omitted], torus gauge fixing, and link invariants II

Abstract

The present paper is the continuation of a previous paper [cf. A. Hahn, Chern–Simons models on S 2 × S 1 , torus gauge fixing, and link invariants I, J. Geom. Phys. 53 (3) (2005) 275–314], in which we derived a heuristic path integral formula for the Wilson loop observables (WLOs) of Non-Abelian Chern–Simons theory on manifolds M of the form M = Σ × S 1 using “torus gauge fixing”. In order to obtain this formula we had to make the assumption that the surface Σ is non-compact. In the present paper we will generalize the treatment of the previous paper in such a way that also the case of compact Σ is included.