The universal complex line bundle is the complex universal vector bundle of rank 1, hence the complex line bundle which is associated to the circle group-universal principal bundle over the classifying space via the canonical action of on .
Its pullback bundle along the canonical inclusion (the map which represents ) is the basic complex line bundle on the 2-sphere.
Last revised on June 27, 2018 at 17:45:53. See the history of this page for a list of all contributions to it.