basic complex line bundle on the 2-sphere

vector bundle, 2-vector bundle, (∞,1)-vector bundle real, complex/holomorphic, quaternionic The basic line bundle on the 2-sphere is the complex line bundle on the 2-sphere whose first Chern class is a generator , equivalently the tautological line bundle on the Riemann sphere regarded as complex projective 1-space. This is the pullback bundle of the map to the classifying space/Eilenberg-MacLane space which itself represents a generator of the homotopy group . Beware that this basic line...