Geodesic
On the homotopy types of Sp(n) gauge groups
Kishimoto, Daisuke1 ; Kono, Akira2
1 Department of Mathematics, Kyoto University, Kyoto, Japan
2 Faculty of Science and Engineering, Doshisha University, Kyoto, Japan
Algebraic and Geometric Topology, Tome 19 (2019) no. 1, pp. 491-502

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

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 to 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.

DOI : 10.2140/agt.2019.19.491
Classification : 54C35, 55P15
Keywords: gauge group, homotopy type, unstable K–theory

Kishimoto, Daisuke 1 ; Kono, Akira 2

1 Department of Mathematics, Kyoto University, Kyoto, Japan
2 Faculty of Science and Engineering, Doshisha University, Kyoto, Japan 
@article{10_2140_agt_2019_19_491,
     author = {Kishimoto, Daisuke and Kono, Akira},
     title = {On the homotopy types of {Sp(n)} gauge groups},
     journal = {Algebraic and Geometric Topology},
     pages = {491--502},
     publisher = {mathdoc},
     volume = {19},
     number = {1},
     year = {2019},
     doi = {10.2140/agt.2019.19.491},
     url = {http://geodesic.mathdoc.fr/articles/10.2140/agt.2019.19.491/}
}
TY  - JOUR
AU  - Kishimoto, Daisuke
AU  - Kono, Akira
TI  - On the homotopy types of Sp(n) gauge groups
JO  - Algebraic and Geometric Topology
PY  - 2019
SP  - 491
EP  - 502
VL  - 19
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.2140/agt.2019.19.491/
DO  - 10.2140/agt.2019.19.491
ID  - 10_2140_agt_2019_19_491
ER  - 
%0 Journal Article
%A Kishimoto, Daisuke
%A Kono, Akira
%T On the homotopy types of Sp(n) gauge groups
%J Algebraic and Geometric Topology
%D 2019
%P 491-502
%V 19
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.2140/agt.2019.19.491/
%R 10.2140/agt.2019.19.491
%F 10_2140_agt_2019_19_491
Kishimoto, Daisuke; Kono, Akira. On the homotopy types of Sp(n) gauge groups. Algebraic and Geometric Topology, Tome 19 (2019) no. 1, pp. 491-502. doi: 10.2140/agt.2019.19.491

Cité par Sources :