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
Cohomology of quotients in real symplectic geometry

Thomas John Baird and Nasser Heydari

Algebraic & Geometric Topology 22 (2022) 3249–3276
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 T Baird, Moduli spaces of vector bundles over a real curve : 2–Betti numbers, Canad. J. Math. 66 (2014) 961 MR3251762
3 D Biss, V W Guillemin, T S Holm, The mod 2 cohomology of fixed point sets of anti-symplectic involutions, Adv. Math. 185 (2004) 370 MR2060474
4 A Cannas da Silva, Lectures on symplectic geometry, 1764, Springer (2001) MR1853077
5 J J Duistermaat, Convexity and tightness for restrictions of Hamiltonian functions to fixed point sets of an antisymplectic involution, Trans. Amer. Math. Soc. 275 (1983) 417 MR678361
6 P Foth, A note on Lagrangian loci of quotients, Canad. Math. Bull. 48 (2005) 561 MR2176153
7 R F Goldin, T S Holm, Real loci of symplectic reductions, Trans. Amer. Math. Soc. 356 (2004) 4623 MR2067136
8 R L Griess Jr., Elementary abelian p–subgroups of algebraic groups, Geom. Dedicata 39 (1991) 253 MR1123145
9 J C Hausmann, T Holm, V Puppe, Conjugation spaces, Algebr. Geom. Topol. 5 (2005) 923 MR2171799
10 R Kane, D Notbohm, Elementary abelian p subgroups of Lie groups, Publ. Res. Inst. Math. Sci. 27 (1991) 801 MR1143038
11 F C Kirwan, Cohomology of quotients in symplectic and algebraic geometry, 31, Princeton Univ. Press (1984) MR766741
12 A Kono, M Mimura, On the cohomology of the classifying spaces of PSU(4n + 2) and PO(4n + 2), Publ. Res. Inst. Math. Sci. 10 (1974/75) 691 MR0372899
13 E Lerman, Gradient flow of the norm squared of a moment map, Enseign. Math. 51 (2005) 117 MR2154623
14 C C M Liu, F Schaffhauser, The Yang–Mills equations over Klein surfaces, J. Topol. 6 (2013) 569 MR3100884
15 J McCleary, A user’s guide to spectral sequences, 58, Cambridge Univ. Press (2001) MR1793722
16 M Mimura, H Toda, Topology of Lie groups, I and II, 91, Amer. Math. Soc. (1991) MR1122592
17 R Sjamaar, Real symplectic geometry, Afr. Diaspora J. Math. 9 (2010) 34 MR2575300