Abstract
In 1999, Dimitri Markushevich and Alexander Tikhomirov described a family of rank 2 vector bundles with "natural" Cohomology, referred to as instantons, on a smooth cubic threefold X. These locally free sheaves share indeed common features with instantons on P3, vector bundles originally studied in the context of Yang-Mills gauge theory by Atiyah-Drinfeld-Hitchin-Manin. In particular, ins…