|XXIX Workshop on Geometric Methods in Physics||27.06-03.07.2010|
Poisson reduction of the space of polygons
Poisson reductions are described with respect to two Poisson group actions on
the space of twisted polygons in $\RR^n. I will will present examples for
$n=2$ and $n=3$, amongst which are to be found the lattice Virasoro structure,
the second Toda lattice structure and some extended Toda lattice structures.