Volume 7, issue 2 (2007)

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

Volume 20
Issue 7, 3219–3760
Issue 6, 2687–3218
Issue 5, 2145–2685
Issue 4, 1601–2143
Issue 3, 1073–1600
Issue 2, 531–1072
Issue 1, 1–529

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
Editorial Interests
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
Author Index
To Appear
 
Other MSP Journals
Cohomology of the space of commuting $n$–tuples in a compact Lie group

Thomas John Baird

Algebraic & Geometric Topology 7 (2007) 737–754
Bibliography
1 A Adem, F Cohen, Commuting elements and spaces of homomorphisms, arXiv:math.AT/0603197
2 M F Atiyah, R Bott, The moment map and equivariant cohomology, Topology 23 (1984) 1 MR721448
3 T J Baird, The moduli space of flat $\mathrm{SU}(2)$ connections on nonorientable surfaces, PhD thesis (in preparation)
4 A Borel, R Friedman, J W Morgan, Almost commuting elements in compact Lie groups, Mem. Amer. Math. Soc. 157 (2002) MR1895253
5 G E Bredon, Sheaf theory, Graduate Texts in Mathematics 170, Springer (1997) MR1481706
6 S E Cappell, R Lee, E Y Miller, The action of the Torelli group on the homology of representation spaces is nontrivial, Topology 39 (2000) 851 MR1760431
7 N Chriss, V Ginzburg, Representation theory and complex geometry, Birkhäuser (1997) MR1433132
8 R Engelking, General topology, Sigma Series in Pure Mathematics 6, Heldermann Verlag (1989) MR1039321
9 W Greub, S Halperin, R Vanstone, Connections, curvature, and cohomology, Volume II, Pure and Applied Mathematics 47-II, Academic Press (1973) MR0336651
10 V W Guillemin, S Sternberg, Supersymmetry and equivariant de Rham theory, Mathematics Past and Present, Springer (1999) MR1689252
11 W Y Hsiang, Cohomology theory of topological transformation groups, Ergebnisse der Mathematik und ihrer Grenzgebiete 85, Springer (1975) MR0423384
12 V G Kac, A V Smilga, Vacuum structure in supersymmetric Yang-Mills theories with any gauge group, from: "The many faces of the superworld", World Sci. Publ., River Edge, NJ (2000) 185 MR1885976
13 G W Schwarz, The topology of algebraic quotients, from: "Topological methods in algebraic transformation groups (New Brunswick, NJ, 1988)", Progr. Math. 80, Birkhäuser (1989) 135 MR1040861
14 E Torres-Giese, D Sjerve, Fundamental groups of commuting elements in Lie groups, arXiv:math.AT/0609375
15 E Witten, Constraints on supersymmetry breaking, Nuclear Phys. B 202 (1982) 253 MR668987
16 E Witten, Toroidal compactification without vector structure, J. High Energy Phys. 2 (1998) MR1615617