An analytic Approach to Turaev's Shadow Invariant
Hahn, Atle
arXiv, 0507040 / Harvested from arXiv
Text on arXiv
In the present paper we extend the "torus gauge fixing approach" by Blau and Thompson (Nucl. Phys. B408(1):345--390, 1993) for Chern-Simons models with base manifolds M of the form M= \Sigma x S^1 in a suitable way. We arrive at a heuristic path integral formula for the Wilson loop observables associated to general links in M. We then show that the right-hand side of this formula can be evaluated explicitly in a non-perturbative way and that this evaluation naturally leads to the face models in terms of which Turaev's shadow invariant is defined.
Publié le : 2005-07-17
Classification:  Mathematical Physics,  High Energy Physics - Theory,  57M27, 60H30, 81T08, 81T13 
@article{0507040,
     author = {Hahn, Atle},
     title = {An analytic Approach to Turaev's Shadow Invariant},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0507040}
}

Hahn, Atle. An analytic Approach to Turaev's Shadow Invariant. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0507040/