Volume 17, issue 2 (2017)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 25, 1 issue

Volume 24, 9 issues

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Editorial Board
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN 1472-2739 (online)
ISSN 1472-2747 (print)
Author Index
To Appear
 
Other MSP Journals
Odd primary homotopy types of $\mathrm{SU}(n)$–gauge groups

Stephen Theriault

Algebraic & Geometric Topology 17 (2017) 1131–1150
Bibliography
1 M F Atiyah, R Bott, The Yang–Mills equations over Riemann surfaces, Philos. Trans. Roy. Soc. London Ser. A 308 (1983) 523 MR702806
2 M C Crabb, W A Sutherland, Counting homotopy types of gauge groups, Proc. London Math. Soc. 81 (2000) 747 MR1781154
3 D H Gottlieb, Applications of bundle map theory, Trans. Amer. Math. Soc. 171 (1972) 23 MR0309111
4 J Grbić, S Theriault, Self-maps of low rank Lie groups at odd primes, Canad. J. Math. 62 (2010) 284 MR2643044
5 H Hamanaka, A Kono, On [X,U(n)] when dimX is 2n, J. Math. Kyoto Univ. 43 (2003) 333 MR2051028
6 H Hamanaka, A Kono, Unstable K1–group and homotopy type of certain gauge groups, Proc. Roy. Soc. Edinburgh Sect. A 136 (2006) 149 MR2217512
7 H Hamanaka, A Kono, Homotopy type of gauge groups of SU(3)–bundles over S6, Topology Appl. 154 (2007) 1377 MR2310471
8 J R Harper, Secondary cohomology operations, 49, Amer. Math. Soc. (2002) MR1913285
9 I M James, Reduced product spaces, Ann. of Math. 62 (1955) 170 MR0073181
10 Y Kamiyama, D Kishimoto, A Kono, S Tsukuda, Samelson products of SO(3) and applications, Glasg. Math. J. 49 (2007) 405 MR2347270
11 D Kishimoto, A Kono, S Theriault, Refined gauge group decompositions, Kyoto J. Math. 54 (2014) 679 MR3263557
12 D Kishimoto, A Kono, M Tsutaya, On p–local homotopy types of gauge groups, Proc. Roy. Soc. Edinburgh Sect. A 144 (2014) 149 MR3164541
13 D Kishimoto, S Theriault, M Tsutaya, The homotopy types of G2–gauge groups, preprint
14 A Kono, A note on the homotopy type of certain gauge groups, Proc. Roy. Soc. Edinburgh Sect. A 117 (1991) 295 MR1103296
15 G E Lang Jr., The evaluation map and EHP sequences, Pacific J. Math. 44 (1973) 201 MR0341484
16 M Mimura, G Nishida, H Toda, Mod p decomposition of compact Lie groups, Publ. Res. Inst. Math. Sci. 13 (1977) 627 MR0478187
17 M Mimura, H Toda, Cohomology operations and homotopy of compact Lie groups, I, Topology 9 (1970) 317 MR0266237
18 P Selick, Introduction to homotopy theory, 9, Amer. Math. Soc. (1997) MR1450595
19 W A Sutherland, Function spaces related to gauge groups, Proc. Roy. Soc. Edinburgh Sect. A 121 (1992) 185 MR1169902
20 S D Theriault, The odd primary H–structure of low rank Lie groups and its application to exponents, Trans. Amer. Math. Soc. 359 (2007) 4511 MR2309196
21 S D Theriault, The homotopy types of Sp(2)–gauge groups, Kyoto J. Math. 50 (2010) 591 MR2723863
22 S D Theriault, Odd primary homotopy decompositions of gauge groups, Algebr. Geom. Topol. 10 (2010) 535 MR2602840
23 S Theriault, The homotopy types of SU(5)–gauge groups, Osaka J. Math. 52 (2015) 15 MR3326599
24 H Toda, A topological proof of theorems of Bott and Borel–Hirzebruch for homotopy groups of unitary groups, Mem. Coll. Sci. Univ. Kyoto. Ser. A. Math. 32 (1959) 103 MR0108790
25 S Tsukuda, A remark on the homotopy type of the classifying space of certain gauge groups, J. Math. Kyoto Univ. 36 (1996) 123 MR1381543
26 M Tsutaya, A note on homotopy types of connected components of Map(S4,BSU(2)), J. Pure Appl. Algebra 216 (2012) 826 MR2864856
27 G W Whitehead, Elements of homotopy theory, 61, Springer (1978) MR516508