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Mod p decompositions of the loop spaces of compact symmetric spaces

Mod p decompositions of the loop spaces of compact symmetric spaces
Mod p decompositions of the loop spaces of compact symmetric spaces
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 applications, upper bounds for the homotopy exponents are determined.
homotopy decomposition, symmetric space, homotopy exponent
1472-2747
1771-1811
Kaji, Shizuo
00d68ad1-e588-44bd-b4b1-004c81c62120
Ohsita, Akihiro
143c20a0-db95-4764-9fec-42d3727ab170
Theriault, Stephen
5e442ce4-8941-41b3-95f1-5e7562fdef80
Kaji, Shizuo
00d68ad1-e588-44bd-b4b1-004c81c62120
Ohsita, Akihiro
143c20a0-db95-4764-9fec-42d3727ab170
Theriault, Stephen
5e442ce4-8941-41b3-95f1-5e7562fdef80

Kaji, Shizuo, Ohsita, Akihiro and Theriault, Stephen (2015) Mod p decompositions of the loop spaces of compact symmetric spaces. Algebraic & Geometric Topology, 15 (3), 1771-1811. (doi:10.2140/agt.2015.15.1771).

Record type: Article

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 applications, upper bounds for the homotopy exponents are determined.

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Accepted/In Press date: 25 September 2014
Published date: 19 June 2015
Keywords: homotopy decomposition, symmetric space, homotopy exponent
Organisations: Pure Mathematics

Identifiers

Local EPrints ID: 396693
URI: http://eprints.soton.ac.uk/id/eprint/396693
DOI: doi:10.2140/agt.2015.15.1771
ISSN: 1472-2747
PURE UUID: 9e97bb74-23d4-48ce-a502-45ebaf904d04
ORCID for Stephen Theriault: ORCID iD orcid.org/0000-0002-7729-5527

Catalogue record

Date deposited: 10 Jun 2016 13:34
Last modified: 15 Mar 2024 03:45

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Contributors

Author: Shizuo Kaji
Author: Akihiro Ohsita
Author: Stephen Theriault ORCID iD

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