Mod p decompositions of the loop spaces of compact symmetric spaces
Algebraic Topology
2016-01-20 v1
Abstract
We give p-local homotopy decompositions of the loop spaces of compact, simply-connected symmetric spaces for quasi-regular primes. The factors are spheres, sphere bundles over spheres, and their loop spaces. As an application, upper bounds for the homotopy exponents are determined.
Keywords
Cite
@article{arxiv.1409.7958,
title = {Mod p decompositions of the loop spaces of compact symmetric spaces},
author = {Shizuo Kaji and Akihiro Ohsita and Stephen Theriault},
journal= {arXiv preprint arXiv:1409.7958},
year = {2016}
}
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31 pages