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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. I. The Preparation of 1-Aryl-3-hydroxy-4-pyridones and Related Compounds
By condensation rnf meconic acid, comenic acid, or comenic acid
methyl ether with primary aromatic amines, 1-aryl-5-hydroxy-4-
-pyridone-2-carboxylic acids, or their methyl ethers, were obtained
with satisfactory yields. Decarboxylation of the acids yielded
1-aryl-3-hydroxy-4-pyridones or the corresponding 1-aryl-3-
-methoxy-4-pyridones
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
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