Quaternionic Structures in Mathematics and Physics on a Brylinski Conjecture for Compact Symplectic Manifolds

@inproceedings{Fern1994QuaternionicSI,
  title={Quaternionic Structures in Mathematics and Physics on a Brylinski Conjecture for Compact Symplectic Manifolds},
  author={Marisa Fern},
  year={1994}
}
J. L. Brylinski in ((3], page 102) conjectured that for compact symplectic manifolds any de Rham cohomology class has a symplectically harmonic representative , that is, dd = = 0, for the Koszul diierential. In this paper, a counterexample to this conjecture is constructed.