Corpus ID: 14335094

Jump formulas in Hamiltonian Geometry

@article{Paradan2004JumpFI,
  title={Jump formulas in Hamiltonian Geometry},
  author={P. Paradan},
  journal={arXiv: Symplectic Geometry},
  year={2004}
}
  • P. Paradan
  • Published 2004
  • Mathematics
  • arXiv: Symplectic Geometry
This paper is concerned with the Hamiltonian actions of a torus on a symplectic manifold. We are interested here in two global invariants: the Duistermaat-Heckman measure DH(M), and the Riemann-Roch chatacters RR(M,L^k),k>0, which are defined when the symplectic manifold is prequantized by a Kostant-Souriau line bundle L. We can associate to each connected component C of regular values of the moment map the following local invariants: the polynomial DH_c which coincides with DH(M) on C, and the… Expand
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