Mod p homology of F4-gauge groups over S4

被引：0
|
作者：
Choi, Younggi [1 ]
机构：
[1] Seoul Natl Univ, Dept Math Educ, Seoul 151748, South Korea
来源：
TOPOLOGY AND ITS APPLICATIONS | 2019年 / 264卷
基金：
新加坡国家研究基金会;
关键词：
Exceptional Lie group F-4; Gauge group; Iterated loop space; Dyer-Lashof operation; Serre spectral sequence; HOMOTOPY TYPES; SPACES;
D O I：
10.1016/j.topol.2019.06.010
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the mod p homology of the gauge group G(k) (F-4) associated with a principal F-4 bundle by computing the Serre spectral sequence for the fibration Omega(4)(0)(F-4) -> G(k) (F-4) -> F-4. The main result is that the Serre spectral sequence collapses at the E-2-term except for p = 2, 13. (C) 2019 Elsevier B.V. All rights reserved.
引用
收藏
页码：12 / 20
页数：9
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