Not signed in

Want to take part in these discussions? Sign in if you have an account, or apply for one below

• Forgot your password?
• Apply for membership

1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeMay 28th 2017
   • PermaLink
   Author: Urs
   Format: MarkdownItexI wrote out some elementary details at _[[basic complex line bundle on the 2-sphere]]_.

   I wrote out some elementary details at basic complex line bundle on the 2-sphere.

2. • CommentRowNumber2.
   • CommentAuthorTodd_Trimble
   • CommentTimeMay 28th 2017
   • PermaLink
   Author: Todd_Trimble
   Format: MarkdownItexIsn't it just the Hopf fibration $S^1 \to S^3 \to S^2$?

   Isn’t it just the Hopf fibration $S^1 \to S^3 \to S^2$?

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeMay 28th 2017
   • (edited May 28th 2017)
   • PermaLink
   Author: Urs
   Format: MarkdownItexSure, it's the complex line bundle canonically associated to the complex Hopf fibration.

   Sure, it’s the complex line bundle canonically associated to the complex Hopf fibration.

4. • CommentRowNumber4.
   • CommentAuthorTodd_Trimble
   • CommentTimeMay 28th 2017
   • PermaLink
   Author: Todd_Trimble
   Format: MarkdownItexI added in the description that this is the [[tautological line bundle]] of the complex projective line, which I think is probably the simplest description. Whether that belongs in the Idea section or not, I'll let someone else decide.

   I added in the description that this is the tautological line bundle of the complex projective line, which I think is probably the simplest description. Whether that belongs in the Idea section or not, I’ll let someone else decide.