Suspension homotopy of 6–manifolds

Huang, Ruizhi

doi:10.2140/agt.2023.23.439

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Editorial Interests

Subscriptions

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Author Index

To Appear

Other MSP Journals

Suspension homotopy of $6$–manifolds

Ruizhi Huang

Algebraic & Geometric Topology 23 (2023) 439–460

DOI: 10.2140/agt.2023.23.439

Abstract

For a simply connected closed orientable manifold of dimension $6$ , we compute its homotopy decomposition after double suspension. This allows us to determine its $K$ – and $K O$ –groups easily. Moreover, in a special case we refine the decomposition to show the rigidity property of the manifold after double suspension.

Keywords

$6$–manifolds, homotopy decomposition, loop spaces, coformal spaces, homotopy groups, Poincaré duality space, $K$–groups

Mathematical Subject Classification

Primary: 55P15, 55P40, 57R19

Secondary: 55N15, 55P10

References

Publication

Received: 15 April 2021

Revised: 27 September 2021

Accepted: 30 October 2021

Published: 27 March 2023

Authors

Ruizhi Huang
Institute of Mathematics Chinese Academy of Sciences Beijing China
https://sites.google.com/site/hrzsea/

Open Access made possible by participating institutions via Subscribe to Open.

Volume 23, issue 1 (2023)