Remarks on invariants of hamiltonian loops

  • Egor Shelukhin
  • Published 2009


In this note several ”soft” invariants of hamiltonian loops are computed in rigid settings : in the case of hamiltonian biholomorphisms on Kahler manifolds, these happen to be related to Futaki invariants of holomorphic vector fields; and in the case of toric manifolds, we identify some of them with natural points on the moment polytope. Applications to barycenters of Fano polytopes, and to masslinear functions are presented. An application to the equality of two invariants of quantomorphism loops for prequantizations of the complex projective space CPn is shown.

Cite this paper

@inproceedings{Shelukhin2009RemarksOI, title={Remarks on invariants of hamiltonian loops}, author={Egor Shelukhin}, year={2009} }