Seminarium "The Trans-Carpathian Seminar on Geometry & Physics"

Following classical ideas as much as possible we define thenotion of a curve on a supermanifolds and proceed to define the jets ofsuch curves. We make extensive use of Grothendieck's functor of points andseem rather forced to take a categorical approach to supermanifolds. However, this allows us to define geometrically the k-th order tangentbundle of a supermanifold.