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

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. 
@article{IM2_2002_66_2_a6,
     author = {A. N. Tyurin},
     title = {Lattice gauge theories and the {Florentino} conjecture},
     journal = {Izvestiya. Mathematics },
     pages = {425--442},
     publisher = {mathdoc},
     volume = {66},
     number = {2},
     year = {2002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2002_66_2_a6/}
}
TY  - JOUR
AU  - A. N. Tyurin
TI  - Lattice gauge theories and the Florentino conjecture
JO  - Izvestiya. Mathematics 
PY  - 2002
SP  - 425
EP  - 442
VL  - 66
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IM2_2002_66_2_a6/
LA  - en
ID  - IM2_2002_66_2_a6
ER  - 
%0 Journal Article
%A A. N. Tyurin
%T Lattice gauge theories and the Florentino conjecture
%J Izvestiya. Mathematics 
%D 2002
%P 425-442
%V 66
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IM2_2002_66_2_a6/
%G en
%F IM2_2002_66_2_a6
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/