Anick spaces and Kac-Moody groups
Anick spaces and Kac-Moody groups
For primes p ≥ 5 we prove an approximation to Cohen, Moore and Neisendorfer’s conjecture that the loops on an Anick space retracts off the double loops on a mod-p Moore space. The approximation is then used to answer a question posed by Kitchloo regarding the topology of Kac-Moody groups. We show that, for certain rank two Kac-Moody groups K, the based loops on K is p-locally homotopy equivalent to the product of the loops on a 3-sphere and the loops on an Anick space.
Anick space, Moore space, Kac-Moody group
4305-4328
Theriault, Stephen
5e442ce4-8941-41b3-95f1-5e7562fdef80
Wu, Jie
a1eb26b7-930b-4797-9003-516219eba24f
Theriault, Stephen
5e442ce4-8941-41b3-95f1-5e7562fdef80
Wu, Jie
a1eb26b7-930b-4797-9003-516219eba24f
Theriault, Stephen and Wu, Jie
(2018)
Anick spaces and Kac-Moody groups.
Algebraic & Geometric Topology, 18, .
(doi:10.2140/agt.2018.18.4305).
Abstract
For primes p ≥ 5 we prove an approximation to Cohen, Moore and Neisendorfer’s conjecture that the loops on an Anick space retracts off the double loops on a mod-p Moore space. The approximation is then used to answer a question posed by Kitchloo regarding the topology of Kac-Moody groups. We show that, for certain rank two Kac-Moody groups K, the based loops on K is p-locally homotopy equivalent to the product of the loops on a 3-sphere and the loops on an Anick space.
Text
Anick_Kac_Moody revised
- Accepted Manuscript
More information
Accepted/In Press date: 21 June 2018
e-pub ahead of print date: 11 December 2018
Keywords:
Anick space, Moore space, Kac-Moody group
Identifiers
Local EPrints ID: 422252
URI: http://eprints.soton.ac.uk/id/eprint/422252
ISSN: 1472-2747
PURE UUID: e8fc7c0b-86f9-4a23-89a2-ede3d915f804
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Date deposited: 19 Jul 2018 16:30
Last modified: 06 Jun 2024 01:51
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Author:
Jie Wu
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