Bott periodicity for inclusions of symmetric spaces

Details Bott periodicity for inclusions of symmetric spaces Bott periodicity for inclusions of symmetric spaces

2011-08-03

arxiv.org/abs/1108.0954v2

Mathematics

Differential Geometry

Version 2: exposition improved; one reference added

Scientific paper

When looking at Bott's original proof of his periodicity theorem for the stable homotopy groups of the orthogonal and unitary groups, one sees in the background a differential geometric periodicity phenomenon. We show that this geometric phenomenon extends to the standard inclusion of the orthogonal group into the unitary group. Standard inclusions between other classical Riemannian symmetric spaces are considered as well. An application to homotopy theory is also discussed.

Affiliated with

Also associated with

No associations

Rating

Bott periodicity for inclusions of symmetric spaces does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Bott periodicity for inclusions of symmetric spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Bott periodicity for inclusions of symmetric spaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-13576