Stable vector bundles on generalized Kummer varieties (Q2155619)

For an abelian surface \(A\), the authors construct two new families of stable vector bundles on the generalized Kummer variety \(K_n(A)\) for \(n \geq 2\). The first is the family of tautological bundles associated to stable bundles on \(A\), and the second is constructed from the universal family of stable bundles on the dual abelian surface \(\widehat A\). Each family yields a smooth connected component in the moduli space of stable bundles on \(K_n(A)\) that is holomorphic-symplectic but not simply connected, contrary to what happens in the analogous case of \(K3\) surfaces.