Anick spaces and Kac-Moody groups

被引:0
|
作者
Theriault, Stephen [1 ]
Wu, Jie [2 ]
机构
[1] Univ Southampton, Math Sci, Southampton, Hants, England
[2] Natl Univ Singapore, Dept Math, Singapore, Singapore
来源
ALGEBRAIC AND GEOMETRIC TOPOLOGY | 2018年 / 18卷 / 07期
关键词
TORSION;
D O I
10.2140/agt.2018.18.4305
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
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-2 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.
引用
收藏
页码:4305 / 4328
页数:24
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