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Mod $p$ decompositions
of the loop spaces of compact symmetric spaces
Shizuo Kaji, Akihiro Ohsita and Stephen Theriault |
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Algebraic & Geometric Topology 15 (2015) 1771–1811
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Abstract |
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We give –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
homotopy decomposition, symmetric space, homotopy exponent
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Mathematical Subject Classification 2010
Primary: 55P15, 55P40
Secondary: 57T20
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References |
Publication
Received: 4 July 2014
Revised: 25 September 2014
Accepted: 25 September 2014
Published: 19 June 2015
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Authors |
| Shizuo Kaji | |
| Department of Mathematical
Sciences Faculty of Science Yamaguchi University 1677-1, Yoshida Yamaguchi 753-8512 Japan |
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| Akihiro Ohsita | |
| Faculty of Economics Osaka University of Economics 2-2-8 Osumi Hiogashiyodogawa Ward Osaka 533-8533 Japan |
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| Stephen Theriault | |
| School of Mathematics University of Southampton Southampton SO17 BJ UK |
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