Geodesic
Lattice gauge theories and the Florentino conjecture
Izvestiya. Mathematics, Tome 66 (2002) no. 2, pp. 425-442 
A. N. Tyurin. Lattice gauge theories and the Florentino conjecture. Izvestiya. Mathematics, Tome 66 (2002) no. 2, pp. 425-442. http://geodesic.mathdoc.fr/item/IM2_2002_66_2_a6/
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     author = {A. N. Tyurin},
     title = {Lattice gauge theories and the {Florentino} conjecture},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2002_66_2_a6/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

We investigate the relations between the space of classes of $\operatorname{SU}(2)$-representations of the fundamental group of a Riemann surface $\Sigma_\Gamma$ equipped with a trinion decomposition corresponding to a 3-valent graph $\Gamma$ and the $\operatorname{SU}(2)$ theory on $\Gamma$. We construct a section of the standard map of the orbit space of the gauge theory on $\Sigma_\Gamma$ onto that of the gauge theory on $\Gamma$. As an application, we prove a conjecture of Florentino.

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