Ge. Arutyunov, POISSON REDUCTION OF TWISTED HEISENBERG DOUBLE AND FINITE-DIMENSIONALINTEGRABLE SYSTEMS, Czechoslovak journal of Physics, 46(12), 1996, pp. 1131-1135
We clarify the special Poisson reduction procedure for the twisted Hei
senberg Double and show that the Poisson structure on the reduced spac
e coincides with the one of the moduli space of flat connections on a
Riemann surface of genus one.