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Sphere Bundles Over $4$-Manifolds Are Trivial After Looping by Huang, Ruizhi is a scholarly article available to read on EtoBox.

What is Sphere Bundles Over $4$-Manifolds Are Trivial After Looping about?

We show that except two special cases, the sphere bundle of a vector bundle over a simply connected $4$-manifold splits after looping. In particular, this implies that though there are infinitely many inequivalent sphere bundles of a given rank over a $4$-manifold, the loop spaces of their total manifolds are all homotopy equivalent.

Author

Huang, Ruizhi

Published

2022

Language

EN