Geometry & Topology Volume 9, issue 1 (2005)

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ISSN (electronic): 1364-0380

ISSN (print): 1465-3060

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Homotopy properties of Hamiltonian group actions

Jarek Kędra and Dusa McDuff

Geometry & Topology 9 (2005) 121–162

DOI: 10.2140/gt.2005.9.121

Bibliography

1	M Abreu, D McDuff, Topology of symplectomorphism groups of rational ruled surfaces, J. Amer. Math. Soc. 13 (2000) 971 MR1775741
2	C Allday, Examples of circle actions on symplectic spaces, from: "Homotopy and geometry (Warsaw, 1997)", Banach Center Publ. 45, Polish Acad. Sci. (1998) 87 MR1679851
3	P Andrews, M Arkowitz, Sullivan's minimal models and higher order Whitehead products, Canad. J. Math. 30 (1978) 961 MR506254
4	S Anjos, Homotopy type of symplectomorphism groups of $S^2\times S^2$, Geom. Topol. 6 (2002) 195 MR1914568
5	S Anjos, G Granja, Homotopy decomposition of a group of symplectomorphisms of $S^2\times S^2$, Topology 43 (2004) 599 MR2041632
6	A Blanchard, Sur les variétés analytiques complexes, Ann. Sci. Ecole Norm. Sup. $(3)$ 73 (1956) 157 MR0087184
7	Ś Gal, J Kȩdra, Symplectic configurations, Int. Math. Res. Not. (2006) 35 MR2219218
8	V Guillemin, V Ginzburg, Y Karshon, Moment maps, cobordisms, and Hamiltonian group actions, Mathematical Surveys and Monographs 98, American Mathematical Society (2002) MR1929136
9	D H Gottlieb, Evaluation subgroups of homotopy groups, Amer. J. Math. 91 (1969) 729 MR0275424
10	M Gromov, Pseudoholomorphic curves in symplectic manifolds, Invent. Math. 82 (1985) 307 MR809718
11	V Guillemin, E Lerman, S Sternberg, Symplectic fibrations and multiplicity diagrams, Cambridge University Press (1996) MR1414677
12	V W Guillemin, S Sternberg, Supersymmetry and equivariant de Rham theory, Mathematics Past and Present, Springer (1999) MR1689252
13	T Januskiewicz, J Kȩdra, Characteristic classes of smooth fibrations arXiv:math.SG/0209288
14	F Lalonde, D McDuff, Symplectic structures on fiber bundles, Topology 42 (2003) 309 MR1941438
15	D McDuff, Symplectic diffeomorphisms and the flux homomorphism, Invent. Math. 77 (1984) 353 MR752824
16	D McDuff, A survey of the topological properties of symplectomorphism groups, from: "Topology, geometry and quantum field theory", London Math. Soc. Lecture Note Ser. 308, Cambridge Univ. Press (2004) 173 MR2079375
17	D McDuff, Enlarging the Hamiltonian group, J. Symplectic Geom. 3 (2005) 481 MR2235852
18	D McDuff, D Salamon, Introduction to symplectic topology, Oxford Mathematical Monographs, The Clarendon Press Oxford University Press (1998) MR1698616
19	D McDuff, S Tolman, Topological properties of Hamiltonian circle actions, IMRP Int. Math. Res. Pap. (2006) 72826, 1 MR2210662
20	D McDuff, S Tolman, in preparation
21	K Ono, Floer–Novikov cohomology and the flux conjecture, Geom. Funct. Anal. 16 (2006) 981 MR2276532
22	A G Reznikov, Characteristic classes in symplectic topology, Selecta Math. $($N.S.$)$ 3 (1997) 601 MR1613528
23	P Seidel, Lectures on four dimensional Dehn twists arXiv:math.SG/0309012
24	A Tralle, J Oprea, Symplectic manifolds with no Kähler structure, Lecture Notes in Mathematics 1661, Springer (1997) MR1465676