A faithful 2-dimensional TQFT
Homology, homotopy, and applications, Tome 22 (2020) no. 1, pp. 391-399.

Voir la notice de l'article provenant de la source International Press of Boston

It has been shown in this paper that the commutative Frobenius algebra $\mathbb{QZ}_5 \otimes Z(\mathbb{QS}_3)$ provides a complete invariant for two-dimensional cobordisms, i.e., that the corresponding two-dimensional quantum field theory is faithful. Zsigmondy’s Theorem is essential to the proof of this result.
DOI : 10.4310/HHA.2020.v22.n1.a22
Classification : 15A69, 18A22, 18D10, 57R56
Keywords: Frobenius algebra, topological quantum field theory, faithful functor, Zsigmondy’s Theorem
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S. Gajović; Z. Petrić; S. Telebaković Onić. A faithful 2-dimensional TQFT. Homology, homotopy, and applications, Tome 22 (2020) no. 1, pp. 391-399. doi : 10.4310/HHA.2020.v22.n1.a22. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2020.v22.n1.a22/

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