Moduli of sheaves on hyperkähler manifolds

We survey recent advances in the theory of moduli spaces of stable sheaves on hyperk 'ahler manifolds of dimension greater than $2$. We start by recalling the well-known theory in dimension $2$, i.e.~

Moduli of sheaves on hyperkähler manifolds

We survey recent advances in the theory of moduli spaces of stable sheaves on hyperk"ahler manifolds of dimension greater than $2$. We start by recalling the well-known theory in dimension $2$, i.e.~for $K3$ surfaces, emphasizing the techniques which can be extended to higher dimensions.


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