Quantization of bending flows

@article{Falqui2006QuantizationOB,
  title={Quantization of bending flows},
  author={Gregorio Falqui and Fabio Musso},
  journal={Czechoslovak Journal of Physics},
  year={2006},
  volume={56},
  pages={1143-1148}
}
  • G. Falqui, F. Musso
  • Published 3 October 2006
  • Mathematics
  • Czechoslovak Journal of Physics
We briefly review the Kapovich-Millson notion of bending flows as an integrable system on the space of polygons inR3, its connection with a specific GaudinXXX system, as well as the generalization to su(r),r>2. Then we consider the quantization problem of the set of Hamiltonians pertaining to the problem, quite naturally called bending Hamiltonians, and prove that their commutativity is preserved at the quantum level. 
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