Geodesic
$SU(2)$ WZNW model at higher genera from the gauge field functional integral
Algebra i analiz, Tome 6 (1994) no. 3, pp. 107-117 
K. Gawȩdzki. $SU(2)$ WZNW model at higher genera from the gauge field functional integral. Algebra i analiz, Tome 6 (1994) no. 3, pp. 107-117. http://geodesic.mathdoc.fr/item/AA_1994_6_3_a6/
@article{AA_1994_6_3_a6,
     author = {K. Gaw\c{e}dzki},
     title = {$SU(2)${~WZNW} model at higher genera from the gauge field functional integral},
     journal = {Algebra i analiz},
     pages = {107--117},
     year = {1994},
     volume = {6},
     number = {3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/AA_1994_6_3_a6/}
}
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EP  - 117
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Voir la notice de l'article provenant de la source Math-Net.Ru

We compute the gauge field functional integral giving the scalar product of the $SU(2)$ Chern–Simons theory states on a Riemann surface of genus $>1$. The result allows us to express the higher genera partition functions of the $SU(2)$ WZNW conformal field theory by explicit finite-dimensional integrals. Our calculation may also shed new light on the functional integral of the Liouville theory.