Hypersymplectic manifolds
Andrew Dancer
The University of Sydney, AustraliaAndrew Swann
University of Southern Denmark, Odense, Denmark
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Abstract
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.