An analytic Approach to Turaev's Shadow Invariant

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.Comment: 44 pages, 2 figures. Changes have been made in Sec. 2.3, Sec 2.4, Sec. 3.4, and Sec. 3.5. Appendix C is ne

Studies on · 4-Pyrones and 4-Pyridones. II. The Preparation . and Rearrangement of 3-Allyloxy-4-pyrone

Prep aration of 3-allyloxy-4-pyrone (II), the Claisen rearrangement of II to 3 .~hydroxy -2-allyl-4 -pyrone (IV) an d synthesis of a number of related compounds are described

Zur Kenntnis der Thiozimtsaureamide. Thioamide. II. Mitteilung

Thiozimtsaureamid sowie einige N-monosubstituierte und N,N- disubstituierte Thiozimtsaureamide konnten durch Schwefelung der entsprechenden Amide mit Phosphorpentasulfid in Pyridin in befriedigender Ausbeute gewonnen werden