Geodesic
Lattice gauge theories and the Florentino conjecture
Izvestiya. Mathematics , Tome 66 (2002) no. 2, pp. 425-442.

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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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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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