vector bundle, 2-vector bundle, (∞,1)-vector bundle
real, complex/holomorphic, quaternionic
The trivial fiber bundle over with fibre is simply the Cartesian product , equipped with the projection map to to make it a fiber bundle over
A fiber bundle which not the trivial bundle but is isomorphic to the trivial bundle is called trivializable and the chosen isomorphism is called the corresponding trivialization.
If is a vector space, then the trivial -fiber bundle is a trivial vector bundle, etc.
If a field bundle is trivial with fiber , then the corresponding field theory is called a sigma model with target space .
Last revised on September 13, 2017 at 17:51:32. See the history of this page for a list of all contributions to it.