|
Algebraic & Geometric Topology 5
(2005) 923–964
|
| 1 |
C Allday, V
Puppe, Cohomological methods in transformation
groups, Cambridge Studies in Advanced Mathematics 32,
Cambridge University Press (1993) MR1236839 |
| 2 |
M F Atiyah,
K–theory and reality, Quart. J. Math. Oxford Ser.
(2) 17 (1966) 367–386 MR0206940 |
| 3 |
M Audin, The
topology of torus actions on symplectic manifolds, Progress
in Mathematics 93, Birkhäuser Verlag (1991) MR1106194
Translated from the French by the author |
| 4 |
D Biss, V W
Guillemin, T S Holm, The mod 2
cohomology of fixed point sets of anti-symplectic
involutions, Adv. Math. 185 (2004) 370–399
MR2060474 |
| 5 |
A Borel, Seminar on
transformation groups, With contributions by G. Bredon, E.
E. Floyd, D. Montgomery, R. Palais. Annals of Mathematics
Studies, No. 46, Princeton University Press (1960) MR0116341 |
| 6 |
A Borel, A
Haefliger, La classe
d'homologie fondamentale d'un espace analytique, Bull.
Soc. Math. France 89 (1961) 461–513 MR0149503 |
| 7 |
M W Davis, T
Januszkiewicz, Convex
polytopes, Coxeter orbifolds and torus actions, Duke
Math. J. 62 (1991) 417–451 MR1104531 |
| 8 |
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) 417–429 MR678361 |
| 9 |
R F Goldin,
T S Holm, Real loci of
symplectic reductions, Trans. Amer. Math. Soc. 356
(2004) 4623–4642 MR2067136 |
| 10 |
M Goresky, R
Kottwitz, R MacPherson, Equivariant
cohomology, Koszul duality, and the localization
theorem, Invent. Math. 131 (1998) 25–83 MR1489894 |
| 11 |
M J Greenberg,
J R Harper, Algebraic topology, Mathematics
Lecture Note Series 58, Benjamin/Cummings Publishing Co.
Advanced Book Program (1981) MR643101
A first course |
| 12 |
M Harada, T S
Holm, The
equivariant cohomology of hypertoric varieties and their real
loci, Comm. Anal. Geom. 13 (2005) 527–559
MR2171691 |
| 13 |
J C Hausmann,
A Knutson, The
cohomology ring of polygon spaces, Ann. Inst. Fourier
(Grenoble) 48 (1998) 281–321 MR1614965 |
| 14 |
J C Hausmann,
S Tolman, Maximal
Hamiltonian tori for polygon spaces, Ann. Inst. Fourier
(Grenoble) 53 (2003) 1925–1939 MR2038784 |
| 15 |
D Husemoller, Fibre
bundles, Graduate Texts in Mathematics 20, Springer (1975)
MR0370578 |
| 16 |
F C Kirwan,
Cohomology of quotients in symplectic and algebraic
geometry, Mathematical Notes 31, Princeton University Press
(1984) MR766741 |
| 17 |
E Lerman,
Symplectic cuts, Math. Res. Lett. 2 (1995) 247–258
MR1338784 |
| 18 |
A T Lundell, S
Weingram, The topology of CW–complexes, Van
Nostrand (1969) |
| 19 |
A A Klyachko,
Spatial polygons and stable configurations of points in the
projective line, from: "Algebraic geometry and its
applications (Yaroslavl', 1992)", Aspects Math., E25, Vieweg
(1994) 67–84 MR1282021 |
| 20 |
J McCleary, A
user's guide to spectral sequences, Cambridge Studies in
Advanced Mathematics 58, Cambridge University Press (2001)
MR1793722 |
| 21 |
J W Milnor,
J D Stasheff, Characteristic classes, Annals
of Mathematics Studies 76, Princeton University Press (1974)
MR0440554 |
| 22 |
L O'Shea, R
Sjamaar, Moment maps and
Riemannian symmetric pairs, Math. Ann. 317 (2000)
415–457 MR1776111 |
| 23 |
H Samelson, Notes
on Lie algebras, Universitext, Springer (1990) MR1056083 |
| 24 |
C Schmid,
Cohomologie équivariante de certaines
variétés hamiltoniennes et de leur partie
réelle, thesis, University of Geneva (2001) |
| 25 |
E H Spanier,
Algebraic topology, McGraw-Hill Book Co. (1966) MR0210112 |
| 26 |
T tom Dieck,
Transformation groups, de Gruyter Studies in Mathematics
8, Walter de Gruyter & Co. (1987) MR889050 |
| 27 |
S Tolman, J
Weitsman, The cohomology rings of symplectic
quotients, Comm. Anal. Geom. 11 (2003) 751–773
MR2015175 |
| 28 |
J A van Hamel,
Algebraic cycles and topology of real algebraic
varieties, CWI Tract 129, Stichting Mathematisch Centrum
Centrum voor Wiskunde en Informatica (2000) MR1824786
Dissertation, Vrije Universiteit Amsterdam, Amsterdam |
| 29 |
J A van Hamel,
personal correspondence (2004) |
