TY - JOUR
T1 - On the homotopy types of sp.(n) gauge groups
AU - Kishimoto, Daisuke
AU - Kono, Akira
N1 - Funding Information:
Acknowledgement The authors were partly supported by JSPS KAKENHI (No. 17K05248 and No. 15K04883).
Publisher Copyright:
© 2019, Mathematical Sciences Publishers. All rights reserved.
PY - 2019/2/6
Y1 - 2019/2/6
N2 - Let Gk,n be the gauge group of the principal Sp(n)-bundle over S4 corresponding to k∈Z≅π3(Sp(n)). We refine the result of Sutherland on the homotopy types of Gk,n and relate it with the order of a certain Samelson product in Sp(n). Then we classify the p-local homotopy types of Gk,n for (p−1)2+1≥2n.
AB - Let Gk,n be the gauge group of the principal Sp(n)-bundle over S4 corresponding to k∈Z≅π3(Sp(n)). We refine the result of Sutherland on the homotopy types of Gk,n and relate it with the order of a certain Samelson product in Sp(n). Then we classify the p-local homotopy types of Gk,n for (p−1)2+1≥2n.
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U2 - 10.2140/agt.2019.19.491
DO - 10.2140/agt.2019.19.491
M3 - Article
AN - SCOPUS:85062876554
SN - 1472-2747
VL - 19
SP - 491
EP - 502
JO - Algebraic and Geometric Topology
JF - Algebraic and Geometric Topology
IS - 1
ER -