Hypersymplectic manifolds

  • Andrew Dancer

    The University of Sydney, Australia
  • Andrew Swann

    University of Southern Denmark, Odense, Denmark
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We survey aspects of hypersymplectic manifolds, especially comparing them with symplectic and hyperkähler manifolds. We consider hypersymplectic quotients of flat space by the action of abelian groups and describe a hypersymplectic cut construction.