Une déformation en famille du complexe de de Rham–Hodge

We construct a deformation of the Levi-Civita superconnexion associated to a family of de Rham–Hodge operators, whose curvature is a family of second order hypoelliptic operators along the fibres of the cotangent bundle of the given fibration. To cite this article: J.-M. Bismut, C. R. Acad. Sci. Paris, Ser. I 338 (2004).