2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/49876Link invariants, for 3-manifolds, are defined in the context of the Rozansky-Witten theory. To each knot in the link one associates a holomorphic bundle over a holomorphic symplectic manifold X. The invariants are evaluated for b_{1}(M) \geq 1 and X Hyper-Kaehler. To obtain invariants of Hyper-Kaehler X one finds that the holomorphic vector bundles must be hyper-holomorphic. This condition is derived and explained. Some results for X not Hyper-Kaehler are presented.LaTeX, 21 pages. Added a section on the construction of hyper-holomorphic vector bundles, a reference and acknowledgements. Version to be published in Adv. in Theor. PhysHigh Energy Physics - TheoryGeometric Topologytext