Geometry & Topology Volume 15, issue 4 (2011)

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ISSN (electronic): 1364-0380

ISSN (print): 1465-3060

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Symplectic embeddings of ellipsoids in dimension greater than four

Olguta Buse and Richard Hind

Geometry & Topology 15 (2011) 2091–2110

DOI: 10.2140/gt.2011.15.2091

Bibliography

1	P Biran, Symplectic packing in dimension $4$, Geom. Funct. Anal. 7 (1997) 420 MR1466333
2	P Biran, A stability property of symplectic packing, Invent. Math. 136 (1999) 123 MR1681101
3	P Biran, From symplectic packing to algebraic geometry and back, from: "European Congress of Mathematics, Vol. II (Barcelona, 2000)" (editors C Casacuberta, R M Miró-Roig, J Verdera, S Xambó-Descamps), Progr. Math. 202, Birkhäuser (2001) 507 MR1909952
4	O Buse, R Hind, Optimal higher dimensional ellipsoids embeddings, in preparation
5	K Cieliebak, H Hofer, J Latschev, F Schlenk, Quantitative symplectic geometry arXiv:math.SG/0506191
6	I Ekeland, H Hofer, Symplectic topology and Hamiltonian dynamics, Math. Z. 200 (1989) 355 MR978597
7	I Ekeland, H Hofer, Symplectic topology and Hamiltonian dynamics II, Math. Z. 203 (1990) 553 MR1044064
8	A Floer, H Hofer, K Wysocki, Applications of symplectic homology I, Math. Z. 217 (1994) 577 MR1306027
9	L Godinho, Blowing up symplectic orbifolds, Ann. Global Anal. Geom. 20 (2001) 117 MR1857175
10	M Gromov, Pseudoholomorphic curves in symplectic manifolds, Invent. Math. 82 (1985) 307 MR809718
11	M Hutchings, Quantitative embedded contact homology, to appear in J. Differential Geom. arXiv:1005.2260
12	F Lalonde, D McDuff, The classification of ruled symplectic $4$–manifolds, Math. Res. Lett. 3 (1996) 769 MR1426534
13	B H Li, T J Li, Symplectic genus, minimal genus and diffeomorphisms, Asian J. Math. 6 (2002) 123 MR1902650
14	B H Li, T J Li, On the diffeomorphism groups of rational and ruled $4$–manifolds, J. Math. Kyoto Univ. 46 (2006) 583 MR2311360
15	T J Li, A K Liu, Uniqueness of symplectic canonical class, surface cone and symplectic cone of $4$–manifolds with $B^+=1$, J. Differential Geom. 58 (2001) 331 MR1913946
16	D McDuff, The Hofer conjecture on embedding symplectic ellipsoids, to appear in J. Differential Geom. arXiv:1008.1885v3
17	D McDuff, From symplectic deformation to isotopy, from: "Topics in symplectic $4$–manifolds (Irvine, CA, 1996)" (editor R J Stern), First Int. Press Lect. Ser. I, Int. Press (1998) 85 MR1635697
18	D McDuff, Some $6$–dimensional Hamiltonian $S^1$–manifolds, J. Topol. 2 (2009) 589 MR2546587
19	D McDuff, Symplectic embeddings of $4$–dimensional ellipsoids, J. Topol. 2 (2009) 1 MR2499436
20	D McDuff, L Polterovich, Symplectic packings and algebraic geometry, Invent. Math. 115 (1994) 405 MR1262938
21	D McDuff, F Schlenk, The embedding capacity of $4$–dimensional symplectic ellipsoids arXiv:0912.0532v2
22	E Opshtein, Maximal symplectic packings in $\mathbb P^2$, Compos. Math. 143 (2007) 1558 MR2371382
23	F Schlenk, Embedding problems in symplectic geometry, de Gruyter Exp. in Math. 40, de Gruyter (2005) MR2147307
24	M Symington, Symplectic rational blowdowns, J. Differential Geom. 50 (1998) 505 MR1690738
25	L Traynor, Symplectic packing constructions, J. Differential Geom. 42 (1995) 411 MR1366550