Spherical unirational homotopy groups (Q756202)

Spherical unirational homotopy objects as an example of a homotopy theory internal to the category of algebraic varieties over a field are introduced. Calculations of homotopy groups of spheres are made when the 1-sphere is involved. The fundamental groups of the general and special linear groups are determined. A polynomial representation of 2 in the usual second homotopy group of the complex sphere is found.