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Homotopy of Manifolds Stabilized by Projective Spaces by Huang, Ruizhi; Theriault, Stephen is a scholarly article available to read on EtoBox.

What is Homotopy of Manifolds Stabilized by Projective Spaces about?

We study the homotopy of the connected sum of a manifold with a projective space, viewed as a typical way to stabilize manifolds. In particular, we show a loop homotopy decomposition of a manifold after stabilization by a projective space, and provide concrete examples. To do this, we trace the effect in homotopy theory of surgery on certain product manifolds by showing a loop homotopy decomposition after localization away from the order of the image of the classical $J$-homomorphism.

Author

Huang, Ruizhi; Theriault, Stephen

Published

2022

Language

EN