Log-concavity and symplectic flows

@article{Lin2012LogconcavityAS,
  title={Log-concavity and symplectic flows},
  author={Yi Lin and '. Pelayo},
  journal={arXiv: Symplectic Geometry},
  year={2012}
}
  • Yi Lin, '. Pelayo
  • Published 2012
  • Mathematics
  • arXiv: Symplectic Geometry
  • Let M be a compact, connected symplectic 2n-dimensional manifold on which an(n-2)-dimensional torus T acts effectively and Hamiltonianly. Under the assumption that there is an effective complementary 2-torus acting on M with symplectic orbits, we show that the Duistermaat-Heckman measure of the T-action is log-concave. This verifies the logarithmic concavity conjecture for a class of inequivalent T-actions. Then we use this conjecture to prove the following: if there is an effective symplectic… CONTINUE READING
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